10x - 8y = 4
-5x + 3y = -9
(please explain step by step I don't understand)​

Answers

Answer 1

Answer:

x = 6

y = 7

Step-by-step explanation:

10x - 8y = 4   ⇒ ( 1 )

-5x + 3y = -9  ⇒ ( 2 )

( 2 ) × 2

2 × ( -5x + 3y = -9 )

-10x + 6y = - 18  ⇒ ( 3 )

( 1 ) + ( 3 )

10x - 8y -10x + 6y = 4 - 18

-2y = - 14

Divide both sides by ( - 2 )

y = 7

Now let us replace y with 7 to find the value of x.

For that, let us use equation ( 1 ).

10x - 8y = 4

10x - 8 × 7 = 4

10x - 56 = 4

10x = 56 + 4

10x = 60

Divide both sides by 10.

x = 6

Answer 2

Answer:

[tex]\boxed{\sf{x=6 \quad y=7}}[/tex]

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

10x-8y=4 and -5+3y=-9

10x-8y=4

x=2(2y+1)/5

Substitute.

[tex]\sf{-5*\dfrac{2(2y+1)}{5}+3y=-9}[/tex]

Solve.

-y-2=-9

Add by 2 from both sides.

-y-2+2=-9+2

Solve.

-y=-7

Divide by -1 from both sides.

-y/-1=-7/-1

Solve.

Divide the numbers from left to right.

-7/-1=7

y=7

Substitute of y=7.

x=2(2*7+1)/5

PEMDAS stands for:

ParenthesisExponentsMultiplyDivideAddSubtract

2(2*7+1)/5

Do parenthesis first.

2*7=14

14+1=15

2(15)/5

Multiply.

2*15=30

Divide.

30/5=6

x=6

Therefore, the correct answer is x=6 and y=7.

I hope this helps you! Let me know if my answer is wrong or not.


Related Questions

VOLUME WITH PRISMS! Aubrey decides to estimate the volume of a coffee cup by modeling it as a right cylinder. She measures its height as 8.3 cm and its circumference as 14.9 cm. Find the volume of the cup in cubic centimeters. Round your answer to the nearest tenth if necessary.

Answers

The volume of the cup whose height is 8.3 cm and radius is 2.37 cm in cubic centimeters, by rounding off nearest tenth is 146.4 [tex]cm^{3}[/tex].

Volume of cup by rounding off nearest tenth = 146.4 [tex]cm^{3}[/tex].

What is volume of Cylinder?

The volume V of a cylinder with radius r is the area of the base B times the height h .

V=Bh  or  V=π[tex]r^{2}[/tex]h

It is given that,

height= 8.3 cm

Circumference = 14.9 cm

By using the circumference we first find the radius of circular base or top,

Circumference of the circle = 2πr

14.9= 2 x  3.14 x r

14.9= 6.28 x r

r= [tex]\frac{14.9}{6.28}[/tex]

r= 2.37 cm

Hence, the radius of the circle is 2.37 cm.

Volume of cup( cylindrical shape ) = π[tex]r^{2}[/tex]h

                                                         = 3.14 x 2.37 x 2.37 x 8.3

                                                         = 26.062 x 5.616

                                                         = 146.364 [tex]cm^{3}[/tex]

                                                         = 146.4 [tex]cm^{3}[/tex] (nearest tenth)

The volume of the cup in cubic centimeters, by rounding off nearest tenth is 146.4 [tex]cm^{3}[/tex].

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Enter the correct answer in the box. Write your answer in the form y = mx + b, using the appropriate inequality symbol in place of the equal sign.

What inequality is shown in the graph?

Answers

Answer:

y ≥ -x - 4

Step-by-step explanation:

[tex]\sf let (x_1,y_1)=(-4,0)\\\\let (x_2,y_2)=(0,-4)[/tex]

[tex]\sf slope \ (m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-0}{0-(-4)}=-1[/tex]

Slope-point form of linear equation:

[tex]\sf \implies y-y_1=m(x-x_1)[/tex]

[tex]\sf \implies y-0=-1(x-(-4))[/tex]

[tex]\sf \implies y=-x-4[/tex]

For ≤ or ≥ graph a solid line

For < or > graph a dashed line

For shading above the line: y ≥ or y >

For shading below the line:  y ≤ or y <

Therefore, as the line is solid and shading is above the line:

[tex]\sf y\geq -x-4[/tex]

Answer: y ≥ -x - 4

Step-by-step explanation:

Find the mean of the data set without the outlier.
Then, find the mean of the data set with the outlier.

Answers

Answer:

Without outlier: 9

With outlier: 8.2

Step-by-step explanation:

Outlier is the lonely point at 1 passenger.

Mean is the average

Without outlier:

one 7

two 8

two 9

four 10

=[7+(2*8)+(2*9)+(4*10)] / 9

= (7 + 16 + 18 + 40) / 9

= 81/9

9

With outlier:

one 1

one 7

two 8

two 9

four 10

=[1+7+(2*8)+(2*9)+(4*10)] / 10

= 82/10

=8.2

Answer:

Mean with outlier: 8.2

Mean without outlier: 9

Hope This Helps! :) Please Give Brainliest!

What is 9n=1(98-2n) equal to? Id really appreciate if you could answer both though

Answers

N=32/3as a fraction alternative form is n=10.6

Based on this equation, estimate the number of wins for a team that scores 222 goals per match.

Answers

Answer:

Based on this equation, we estimate a team that scores 222 goals per match to have 24.524. 524, point, 5 wins.

Please Help! I'll give a brainliest!

Tania is a car salesperson at Yorkshire Motors and earns straight commission on sales. She earns 15%commission on sales of vehicles, service contracts, and accessories. During her first year, Tania's sales totaled $454,000.00. How much money did Tania earn in her first year at the dealership?


Tania earned $_____ in commission the first year.

Answers

Answer:

$68100

Step-by-step explanation:

Commission = 15% of sales amount

The amount Tania earned is:

$454000*15/100 = $68100
Earnings=454000

Commission is 15% of earnings

Commission:-.

15% of 4540000.15(454000)68100$

Suzie went to the carnival and spent $2.85 on a lemonade and $3.25 on a hot dog. How much money did Suzie spend in total? (3 points) a $6.10 b $6.50 c $6.85 d $7.10

Answers

Answer:

a) 6.10

Step-by-step explanation:

if you want to figure out the total number spent, then you simply add together the two amounts to get:

3.25+2.85=6.10

p.s. dont post such simple questions on brainly

Answer: a. $6.10

Step-by-step explanation:

2.85 + 3.25 = (2+3)+(.85+.25) = (5)+(1.10)=6.10
therefore, $6.10 is the right answer

If P = (4,7), Find:
r 180° (P)
([?], [])

Answers

Answer: (-4,-7)

Step-by-step explanation:

Do you understand this please give examples l really don’t understand.

Answers

Answer:

so to get primited you add the sides and since you are given the perrimited and one of the sides you are to figure out the outer side

so if the perrimiter its 38 and one side is 10 then the other side is 28 because 38-10 its 28

Step-by-step explanation:

help pleaseee omggggggggg

Answers

Answer:

Only iris is correct in equation sq. z = 9/25

Iris has the correct answer

The diameter of a circle is 88 centimeters. What is the area?

Answers

[tex]\Huge\color{pink}{{★ƛƝƧƜЄƦ ↦}}[/tex]

[tex] \large \purple { \sf{ Points \: →}}[/tex]

The diameter of a circle is 8 centimeters.

To find→

Area of circle......

we know that area of circle

[tex] \boxed{ \sf{A=\pi {r}^{2} }} \\ [/tex]

1st find the radius by

half of diameter

[tex] \sf {r = \cancel \frac{8}{2} } \\ \\ \sf{r = 4}[/tex]

Now solve according to formula

[tex] \sf{↬A=3.14 \times {4}^{2}} \\ \sf{↬A =3.14 \times 16} \\ \sf {↬A = 50.24 {cm}^{2} }[/tex]

____________________☃️

[tex]\pink{\sf{\:мѕнαcкεя\: ♪...}}[/tex]

Can yall help me do this

Answers

Formula = 4/3 x pi x r^3

4/3 x 3.14 x 7^3 = 1436.03


answer: a. 1436.03 cubic units

Answer:

answer: a. 1436.03 cubic units

Step-by-step explanation:

I took a test

Five candy bars cost $6.57. The cost of each candy bar is the same. What is the cost of each candy bar rounded to the nearest cent

Answers

total price : amount = individual price

6.57:5=1.31

A farmer is mapping out his acreage to
determine where to put up fencing for his
cattle. The length of his plot is 20 yards lõnger
than its width.
Write the function, f(w), that describes the
area, in square yards, of the land enclosed by
the fence.
Enter your answer in the space provided.

Answers

Width be xLength is x+20

So

Area=Length×BreadthArea=x(x+20)Area=x^2+20xyd^2

42 ft.
30 ft
Both triangles are similar The area of the larger triangle is about 382 ft

Answers

Answer:

just awnsering for the points sorry man

Step-by-step explanation:

8, 14.5, 21, 27.5, 34, 40.5 What’s the next number in the sequence

Answers

Answer:

47

Step-by-step explanation:

Determine if the sequence is arithmetic or geometric.

The difference between each term in the sequence is constant, so this is an arithmetic sequence.

To calculate the common difference, subtract one term from the next term:

14.5 - 8 = 6.5

21 - 14.5 = 6.5

27. 5 - 21 = 6.5

34 - 27.5 = 6.5

40.5 - 34 = 6.5

So the common difference is 6.5

To find the next term in the sequence, add 6.5 to the last term given:

40.5 + 6.5 = 47

It is known that
the pair of values x = –3 and y =8 is a solution to the equation
5x +by =17. Find the value of the coefficient b.

Answers

[tex] \huge\boxed { \frak{Answer : }}[/tex]

Given :

[tex] \: \: \: [/tex]

[tex] \rm \large \: x = - 3 \: , \: y= 8[/tex]

[tex] \: \: \: [/tex]

We Have To Find The Value Of " b ".

[tex] \: \: \: [/tex]

[tex] \sf \large \: 5x + by = 17 \: \: \: \: \: -- eqn( 1 )[/tex]

[tex] \: \: [/tex]

Now , Put the given value of x & y in the above eqn ~.

[tex] \: \: [/tex]

[tex] \sf \large \: \: \: \: ⇝5x + by = 17[/tex]

[tex] \: \: [/tex]

[tex]\sf \large \: \: \: \: ⇝5( - 3) + b(8) = 17[/tex]

[tex] \: \: [/tex]

[tex]\sf \large \: \: \: \: ⇝ - 15 + 8b = 17[/tex]

[tex] \: \: [/tex]

[tex]\sf \large \: \: \: \: ⇝8b = 17 + 15[/tex]

[tex] \: \: [/tex]

[tex]\sf \large \: \: \: \: ⇝8b = 32[/tex]

[tex] \: \: [/tex]

[tex]\sf \large \: \: \: \: ⇝b = \cancel\frac{32}{8} [/tex]

[tex] \: \: [/tex]

[tex] \boxed{\sf \large \: \: \: \: \underline{ \: \: ⇝b = 4 \: \: \: \: }}[/tex]

[tex] \: \: [/tex]

Hope Helps!:)

The value of the coefficient b in the linear equation 5x +by =17 is -4

How to determine the equation solutions?

The pair of values are given as:

(x,y) = (-3,-8)

The equation is given as:

5x +by =17

Substitute values for x and y in the equation

-5 * 3 - 8 * b =17

Evaluate the product

-15 - 8b =17

Add 15 to both sides

-8b = 32

Divide both sides by -8

b = -4

Hence, the value of the coefficient b is -4

Read more about equation solutions at:

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Step-by-step explanation: Is (2, 3) a solution to the equation y=x ?

Answers

Answer:

no

Step-by-step explanation:

if you substitute it:

3 = 2

but 3 is not equal to 2 so i dont think its a solution

Answer:

(2, 3) is not a solution to the equation y = x

Step-by-step explanation:

Looking at the point (2, 3), we see that the x-coordinate is 2 and the y-coordinate is 3.  x = y is false.  (2, 3) is not a solution to the equation y = x.

Answer this please thank you

Answers

B. Every third student entering the school in the morning

PLEASE HELP

The circumference of a circular rug is about 18.84 feet, and the diameter of
the rug is 6 feet
Which expression best represents the value of ni?
A.
18.84
6
B. 18.84
C.
3
18.84
D. 18.84
3

Answers

Answer:

A

Step-by-step explanation:

Answer:

A) 18.84 divided by 6 is the answer.

Step-by-step explanation:


pi is essentially any circles' circumference over its diameter. In this case, the rug's circumference is 18.84 and it's diameter is 6, therefore to find pi, you would do 18.84 divided by 6, which is answer A.

Hope this helps!

The radius of a circle is 17 yards. What is the circle's circumference? Use 3.14 for ​.

Answers

Answer:

Circumference of circle is 106.76 yards

Step-by-step explanation:

Given that, radius of Circle is 17 yards. To find the circumference of the circle we will the formula of circumference of circle:

Circumference of circle = 2πr

2 × 3.14 × 17

6.28 × 17

106.76 yards

Hence,

Circumference of circle is 106.76 yards
106.76 yards

Step-by-step explanation :

As, it is given that, the radius of a circle is 17 yards and we are to find the circumference of the circle.

We know that,

[tex]{\longrightarrow {\qquad{\mathfrak {\pmb{ Circumference_{(circle)} = 2 \pi r }}}}}[/tex]

Here,

r is the radius of the circle.

We'll take the value of π as 3.14

Now, substituting the values :

[tex]{\longrightarrow {\qquad{\sf {{ Circumference_{(circle)} = 2 \times 3.14 \times 17 }}}}}[/tex]

[tex]{\longrightarrow {\qquad{\sf {{ Circumference_{(circle)} = 6.28 \times 17 }}}}}[/tex]

[tex]{\longrightarrow {\qquad{\mathfrak {\pmb{ Circumference_{(circle)} = 106.76}}}}}[/tex]

Therefore,

The circumference of the circle is 106.76 yards

1. Look at the sequence in this table.
n
1
2
3
4
On
5
an
а.
-1
1
3
5
7
Which function represents the sequence?
+ 1
A. a = 8,-1
B. a = 8,-1
+1
1+2
+ 2
n
a
c. a, = 2a,-1-1
a
D. a = 2a-,-3
-1
n
,
n
n1

Answers

Answer:

option (C) is correct

Step-by-step explanation:

[tex]a_1=-1-\infty[/tex]

[tex]a_2=1-2[/tex]

[tex]a_3=3[/tex]

[tex]a_4=5[/tex]

[tex]from \ (1)\ and\ (2)[/tex]

[tex]a_2=2(-1)-1=-1[/tex]

[tex]ie.,\ a_2=2(a_1)-1[/tex]

[tex]so,\ a_n=2a_n_-_1-1[/tex]

[tex]Answer:option\ (C)\ is\ Correct[/tex]

I hope this helps you

:)

The product of a number and 8 is equal to the sum of the number and 13 .

Answers

Answer:

n*8 = n+13

Step-by-step explanation:

To find the equation, we must first disect the sentence.  A product of a number and 8. This means a number times 8. A number n times 8. n*8.  Next, is equal to. This means add an equal to sign after n*8.  n*8 = . The sum of the number (n) and 13. This means n+13.  So, put it all together:

n*8 = n+13

Solve the picture for n

Answers

The two angles shown are vertical angles which men they equal each other:


9n = 8n + 8

Subtract 8n from both sides:

N = 8

->Solution

i) 9n = 8n+8 [ V.O.A. vertically opposite angles ]

or, 9n - 8n = 8

or, n = 8

therefore, value of n is 8

Now,

ii) 9n = 9 X n = 9 X 8 = 72 degrees

iii) 8n + 8 = 8 X 8 + 8 = 64 + 8 = 72 degrees

helppp ASAP *75 POINTS*

Answers

A = 10 cmB = 6 cm

C =                                                               ( not given in the figure )

D = 8 cm

area of triangular prism:

( perimeter x length ) + base x height

( 6 + 8 + 10 ) * 2 + 8 * 6

96 cm²

Answer:

Step-by-step explanation:

A = 10 cm

B = 8 cm    {base of the triangle}

C =  2 cm

D = 6 cm   {height of the triangle}

Area of the triangular prism = (A + B + D)*C + base * height

                                               = (10 + 8 + 6)*2 + 8*6

                                               = 24*2 + 48

                                               = 48 + 48

                                               = 96 cm²

what is 7/5 as a simple thing?

Answers

In decimal form: 1.4
In mixed number form: 1 2/5

Find the length of the third side. If necessary, round to the nearest tenth

Pythagorean Theorem (Rounding)

Answers

Answer:

169

Step-by-step explanation:

Answer:

13 :)

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Now lets solve!!

5^2 + 12^2 = c^2

25 + 144 = c^2

169 = c^2

Now we need to find the square root!!

[tex]\sqrt{169}[/tex] = 13

Have an amazing day!!!

Please rate and mark brainliest!!

2x - 5 = 3 what does X equal to?

Answers

x = 4 because 2 times 4 equals 8 and 8 minus 5 is 3

What expression is equal to 6(2f + 2)

Answers

Answer:

[tex]\boxed{\sf{12f+12}}[/tex]

Step-by-step explanation:

Use the distributive property.

Distributive property formula:

A(B+C)=AB+AC

6(2f + 2)

Multiply.

6*2f=12f

6*2=12

Rewrite the expression down.

12f+12

So, the final answer is 12f+12.

I hope this helps! Let me know if you have any questions.

Answer:

12f + 12

Step-by-step explanation:

Step 1:  Distribute

6(2f + 2)

(6 * 2f) + (6 * 2)

12f + 12

Answer: 12f + 12

Write an expression to show the show sum of g and h reduced by 11

Answers

Answer:    g+h - 11

Explanation:

The sum of g and h is the result of adding them. That means we have g+h so far. We reduce it or shrink that result by 11, which indicates we subtract off 11. Therefore, we end up with g+h-11

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