x + y = 1 and 5x - 4y = -7 How would I solve by substitution?

Answers

Answer 1
Isolate x in the first equation. X = 1-y
Now use that value if x in the other equation.

5(1-y) -4y =-7
5 -5y -4y =-7
-9y =-12
Y = 12/9 or 4/3

Substitute that value of y into either equation to solve for x.

X + 4/3 = 1
X =-1/3

Solution is (-1/3, 4/3)

Related Questions

what is the slope & how did you get your answer?

Answers

Answer:

The slope is 2

Step-by-step explanation:

Using the slope formula [tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{-7-(-8)}{-14-(-16)}[/tex]=[tex]\frac{1}{2}[/tex]= 2

The slope is 2

Solve the triangle if a = 40 and B = 40°.

Answers

If the question is asking to look for the third angle, given angle a being 40° and angle b being 40° as well, then we must figure out the total ° that the triangle is (internally), which is 180°.

180 - (40 + 40)

180 - 80

100° is what angle C is

can someone help me with questions 1

Answers

I think it would be 2
210/4
52.5

Sherry has $25 on her eTuns gift card. If she buys songs at $0.50 each, and has $16.50 remaining on the card, how many songs did she buy?

Answers

Answer:

17

Step-by-step explanation:

$25.00 - $16.50 = $8.50

$8.50 / $0.50 = 17

Please write it in standard form.

Answers

Answer:

C

Step-by-step explanation:

To solve this multiply the two and add like terms

Once you multiply you should get x^2-4x+6x-24 which simplifies to x^2+2x-24 which is C

HELPPPPPP!!!!
at Jonathan’s school there are 30 seventh graders participating in the school play. of the students in the seventh grade, 60% are not participating in the school play. How many seventh graders at Jonathan‘s school are not participating in the school play

Answers

Answer:

45

Step-by-step explanation:

45 seventh graders at Jonathan‘s school are not participating in the school play.

Given:

In Jonathan's school,30 seventh graders are participating in the school play. And 60% are not participating in the school play.

To find:

The number of seventh graders not participating in the school play.

Solution:

Let the total number of seventh grader be N.

Number of seventh graders participating in the school play = 30

Percentage of seventh graders not participating in the school play= 60%

Percentage of seventh graders participating in the school play:

[tex]= 100\% - 60\% = 40\%[/tex]

This means that 30 seventh graders are 40% of the total seventh graders, N.

[tex]40\%=\frac{30}{N}\times 100\\N=\frac{30}{40}\times 100=75[/tex]

The number of seventh grader not participating in the school play:

[tex]=N -30\\ = 75 - 30 = 45[/tex]

45 seventh graders at Jonathan‘s school are not participating in the school play.

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Find the slope of the line: (4, 4), (5, 3)

Answers

Answer:

-1

Step-by-step explanation:

we would use the slope formula which is y2-y2/x2-x1

so 3-4/5-4= -1

Mandy has a 10.2-ounce container of mustard. She uses 130 of the mustard to put on her hot dog each time. How many ounces of mustard are left after she has eaten 6 hot dogs?


Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

Answers

Answer:

mmmmmmmmmmmmmmmm

Step-by-step explanation:

For this graph, mark the statements that are true.

A. The range is the set of all real numbers greater than or equal to zero.

B. The domain is the set of all real numbers greater than or equal to zero.

c. The domain is the set of all real numbers.

D. The range is the set of all real numbers.

Answers

The only one that’s true there is A. Domain refers to x values and range is y values. Your domain is between -1 and 3 and your range starts at zero and increases infinitely upward.

Use the Difference of Squares rule to multiply (x−6)(x+6) .
PLEASEE HELPP

Answers

Answer:

x^2-36

Step-by-step explanation:

(x-6)(x+6)

x^2-6x+6x-36

x^2-36 <--- This is your answer

help please!
parallelograms

Answers

Answer:

4

Step-by-step explanation:

C is equal to A because a parallelogram has opposite angles. So C is 83 degrees. SO 20 times something plus 3= equals 83. This something is 4.

I am a 3 digit number. The sum of my digits is 14. My ones place is 3 times as much as my hundreds place.

Answers

Answer:

329

Step-by-step explanation:

8 The sum of four consecutive odd integers is 96. What are the numbers?

Answers

Answer:The sum of all is 21+23+25+27 = 96.

Step-by-step explanation:

Answer:

21+23+25+27 = 96.

Step-by-step explanation:

How many solutions exist for the given equation?
} (x + 12) = 4x – 1
zero
one
two
infinitely many

Answers

Answer:

The given equation has one solution.

Step-by-step explanation:

Given equation is:

(x+12) = 4x-1

We will solve the equation to check how many solutions it has.

x+12 = 4x-1

Adding 1 on both sides

x+12+1 = 4x-1+1

x+13 = 4x

Subtracting x from both sides

x-x+13=4x-x

13 = 3x

x = 13/3

Hence,

The given equation has one solution.

Ms cohn divide 21 markers equally among 7 .Write an equation to show how many markers each student gets.then write a related fact

Answers

Answer:

Hello There!!

Step-by-step explanation:

21/7=3

21 are the total markers and you divide by 7 so 7 goes 3 times into 21.

hope this helps,have a great day!!

~Pinky~

PLz help me and show your work.

Answers

[tex]5 \sqrt{18} - \sqrt{32} \\= 5 \sqrt{9 \times 2} - \sqrt{4 \times 4 \times 2} \\ = 5 \times 3 \times \sqrt{2} - 2 \times 2 \times \sqrt{2} \\ = 15 \sqrt{2} - 4 \sqrt{2} \\ = \boxed{11 \sqrt{2} }[/tex]

11√2 is the right answer.

Probabilities are
one.
A. sometimes greater than
B. never equal to
C. always equal to
D. sometimes less than

Answers

By definition, the probability, p, of an event should lie between zero and 1.

When p = 0, the event will definitely no occur.

When p=1, the event will definitely occur.

Therefore 0 ≤ p ≤ 1.

Answer:

c. Probabilities are sometimes less than

Find the area of the circle. Use 3.14 for π. the circle is 80 yards

Answers

Answer:

509.554140127, you could round it to 510, if rounded to the ones.

510 yds squared

Step-by-step explanation:

80=2pi r

80=6.28r

r=around 12.7388535032

area: pi r^2

pi(162.278388576) approximately equals 509.554140127

I will give brainliest if you answer all correctly ​

Answers

Answer:

I think 13 is C

Step-by-step explanation:

71+52= 123

180-123= 57

I NEED THIS IN LESS THAN 7 MINS!! PLS​

Answers

Answer:

uuuum I think it would be? J times 5 or sm!? I’m sryyyyyy

Step-by-step explanation:

Answer:

...................

.............----.-.-.-.-.--..--.-.-.-.-.-..-.-:-;-:-:-:--.-.-.-.-.

I need the value of A

Answers

Since it’s equilateral and all triangles add up to 180 degrees
3(3a-9)=180
3a-9=60
3a=51
a=17
So the value of A is 17 degrees

what's the slope of (10,-8) and (2,-6)

Answers

Answer:

-1/4

Step-by-step explanation:

[tex]m = \dfrac{y_{B} - y_{A}}{x_{B} - x_{A}} = \dfrac{-6 - (-8)}{2 - 10} = \dfrac{-6 + 8}{-8} = \dfrac{2}{-8} = - \dfrac{1}{4}[/tex]

[tex]\implies \bf m = - \dfrac{1}{4}[/tex]

HELP ME! thank youu!

Answers

Answer:

y=51(Alternate interior angles)

z=40(Alternalte interior angles)

x=89(Sum of angles in a triangle)

What is the value of y in the equation -4(y - 3) = 5(2Y - 6)?

2
3
14
9

3

Answers

Answer:

y=5

Step-by-step explanation:

-4y+12=10y-30

-14y=-42

y=3

The value of the expression -4 ( y - 3 ) = 5 ( 2y - 6 ) is 3

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be -4 ( y - 3 ) = 5 ( 2y - 6 )

On simplifying the equation , we get

-4y + ( -4 ) ( -3 ) = 10y - 5 ( 6 )

-4y + 12 = 10y - 30

Adding 4y on both sides , we get

14y - 30 = 12

Adding 30 on both sides , we get

14y = 42

Divide by 14 on both sides , we get

y = 3

Therefore , the value of y = 3

Hence , the value of the expression -4 ( y - 3 ) = 5 ( 2y - 6 ) is 3

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Decrease £16855.21 by 3.5%
Give your answer rounded to 2 DP.

Answers

Answer:

Step-by-step explanation:

Find 5% of £16855.21 by 3.5%

5%=842.7605

1%=168.5521

0.5%=84.27605

168.5521+168.5521+168.5521+84.27605=

£16855.21-589.93235 =16265.27765

16265.28 is the answer rounded to 2dp

which of the following is an x intercept of the function f(x)=x^3 -x^2-8x+12

A. 3
B. -4
C. -3
D. 4

Answers

Answer:

C

Step-by-step explanation:

Substitute each of the values into f(x) and if equal to zero then it is an x- intercept.

f(3)

= 3³ - 3² - 8(3) + 12 = 27 - 9 - 24 + 12 = 6 ≠ 0

f(- 4)

= (- 4)³ - (- 4)² - 8(- 4) + 12 = - 64 - 16 + 32 + 12 = - 36 ≠ 0

f(- 3)

= (- 3)³ - (- 3)² - 8(- 3) + 12 = - 27 - 9 + 24 + 12 = 0

f(4)

= 4³ - 4² - 8(4) + 12 = 64 - 16 - 32 + 12 = 28 ≠ 0

Since f(- 3) = 0 then x = - 3 is an x- intercept of f(x)

The x - intercept of the function f (x) = x³ - x² - 8x + 12 will be;

⇒ x = - 3

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The function is,

⇒ f (x) = x³ - x² - 8x + 12

Now,

Since, The function is,

⇒ f (x) = x³ - x² - 8x + 12

We know that;

The x - intercept of the function is satisfy the function.

So, We check all the option to find the x - intercept as;

Put x = 3;

⇒ f (x) = x³ - x² - 8x + 12

⇒ f (3) = 3³ - 3² - 8×3 + 12

⇒ f (3) = 27 - 9 - 24 + 12

⇒ f (3) = 6 ≠ 0

Put x = -4;

⇒ f (x) = x³ - x² - 8x + 12

⇒ f (-4) = (-4)³ - (-4)² - 8×-4+ 12

⇒ f (-4) = -64 - 16 + 32 + 12

⇒ f (-4) = - 36 ≠ 0

Put x = -3;

⇒ f (x) = x³ - x² - 8x + 12

⇒ f (-3) = (-3)³ - (-3)² - 8×-3 + 12

⇒ f (-3) = -27 - 9 + 24 + 12

⇒ f (-3) = 0

Thus, The x - intercept of the function is,

⇒ x = - 3

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A class room contained 11 boys and 14 girls. Write a ratio of girls to boys.
Your answer

Answers

Answer:

14:11

Step-by-step explanation:

Answer:

11:14

Step-by-step explanation:

that's what a ratio is

Could you please help with this?

Answers

Answer:

ummm it is too blurry even if you zoom sorry mate

Step-by-step explanation:

z= -y + m/x

Solve for x


Please show work.

Answers

Answer is a. You are trying to get x so that would be your answer “x=“ then you have Z and y left. This is still going to be a fraction since there is that line there still and won’t move. M is independent so that will be the denominator. You now have +y-z. This will then be on top and the reason why it’s on top is because most equations have the expression on top so it’s a numerator.

Can someone help me please?

Answers

67.5

Step-by-step explanation:

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