Solve the system of linear equations by elimination.
-
- 3x + 4y = 18
6x+2y = -6

Answers

Answer 1

Answer: (-2,3)

Step-by-step explanation:

-3x + 4y = 18

6x + 2y= -6        we have to eliminate one of the variables so you will have ot

2(-3x + 4y) = 18(2)     multiply the first equation by 2.  

-6x + 8y = 36

6x +  2y = -6       now we could eliminate the x terms by adding them and

 0  +   10y= 30   remember that is a new equation.  

        y=  3

Now we know that the y solution is 3 so we will put it into one of the equations and solve for x.

-6x + 8(3)=36

-6x + 24= 36

         -24   -24

-6x =  12

x= -2

Answer 2

The solution for the system of given linear equations is (-2, 3).

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given system of equations are -3x + 4y = 18 ----(I) and 6x+2y = -6 ----(II).

By elimination method,

Multiply equation (I) by 2, we get

-6x+8y=36 ----(III)

Add equation (II) and (III), that is

-6x+8y+6x+2y=36-6

10y=30

y=3

Substitute, y=3 in -3x + 4y = 18, we get

-3x+4(3)=18

-3x=6

x=-2

Therefore, the solution for the system of given linear equations is (-2, 3).

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Related Questions

For f(x)=4x+1 and g(x)=x^2-5 , find (fg) (x) .

A.4x^3+x^2-20x-5
B.4x^3+x^2-5x-5
C.4x^3+x^2-4x-6
D.4x^2-19

Answers

Answer:

the answer is B.

4x^3+x^2-5x-5

Step-by-step explanation:

the answer is B. 4x^3+x^2-5x-5

I NEED HELP ASAP :(
Use the distributive property to write the sum as a product.
(-1)·2+(-1)·ₓ

Answers

Answer:

−2 − x

Step-by-step explanation:

Answer:

-2-x

Step-by-step explanation:

distribute the the like terms and separate the problem then solve it.

My mother pays my brother twice as much allowance each week as she pays me because he cleans the bathrooms. Together we get $27 each week. How much is my brother's allowance each week? A. $4.50 B. $9 C. $18 D. $27

Answers

Answer:

B

Step-by-step explanation:

Brother= 9*2=18

Me= 9

B+M= 18+9= 27

Answer:

C. $18

Step-by-step explanation:

The ratio between brother and her is 2:1. Therefore, there are 3 parts. $27/3 = $9. Thus, her brother gets 2*$9 = $18 and she gets 1*$9 = $9

robert wants to put lights around the front of his house the house is 12 yards long and 7 yards high how many feet of lights does he need?

Answers

Answer:

19 lights

Step-by-step explanation:

I think so .

Thank you

Answer:

114 Lights

Step-by-step explanation:

A company starts to track the number of phone calls received each month. Information about the number of phone calls the company received the first months of tracking is listed below. ~ During the first month, the company received 4,264 phone calls. ~ During the second month, the company received 25% more phone calls than in the first month. ~ During the third month, the company received 6,396 phone calls. What was the percent increase in the number of phone calls from the second month to the third month? Show your work.

Answers

Answer:

Percent increase : 20%  

Step-by-step explanation: First month: 4,264 phone calls.

Second month: 25% more phone calls than in the first month.

To know the total phone calls received during this month you must take 25% of 4,264 and then add it to the 4,264 call of the first month:

4,264*25%=1,066

Total phone calls of the second month: 1,066+ 4,264= 5,330

You can also calculate the total phone calls of the second month by multiplying 4264 times 1,25 because times 1 is the same number and times 0,25 is the percent increase in the number of calls:

4,264*1,25= 5,330

Third month: 6,396 phone calls

To know the percent increase in the number of phone calls from the second month to the third month you must use the percent change formula:

Percent change: ((value2-value1)/ value 1 )*100%

Value 2: phone calls received during the third month

Value 1: phone calls received during the second month

Percent change: ((6,396-5,330)/ 5,330 )*100%

Percent increase: 20%

A key code must contain 4 numerals. There are 10 numerals available. Using
these numerals, how many different key codes may be created?
O A. 180
B. 210
O C. 3,060
O D. 5,040​

Answers

Answer:

B, 210

Step-by-step explanation:

there is 10 options for the first one, 9 option for the second, 8 options for the third and 7 for the last. 10*9*8*7=5040, which is d

First number can be 1 out of 10

Second number can be 1 out of 9

Third number can be 1 out of 8

Fourth number can be 1 out of 7

Total combinations = 10 x 9 x 8 x 7 = 5,040

The answer is D. 5,040

The dot plots show exam scores for 25 students. Which exam has an outlier?
Is my answer correct?

Answers

Answer:

yes of course it is correct good job

Answer:

yes your answer is correct

Solve the equation x + 7 = 12

Answers

Answer:

5

Step-by-step explanation:

x=12-7

x = 5

Answer:

x=5

Step-by-step explanation:

x+7=12

If you do the same thing to both sides of the equation, then the trueness of the equation does not change. Therefore, I can subtract 7 from both sides of the equation to isolate x.

x+7-7=12-7

x=5

Hope this helps!

Match the equivalent expressions.
7x − 8y
7x + y
5(x + y) + 6(x − y)
(5x − 3y) − x + 3x − 5y
4(x + y) − 3(x + y)
x − 4x + 6y + (14x − 5y)
11x + y
3x + 3y + 2(2x − y)
11x − y

Answers

Answer:

see below

Step-by-step explanation:

5(x + y) + 6(x − y)

Distribute

5x+ 5y + 6x -6y

Combine like terms

11x -y

(5x − 3y) − x + 3x − 5y

Combine like terms

5x -x +3x   -3y -5y

7x -8y

4(x + y) − 3(x + y)

Distribute

4x +4y -3x -3y

Combine like terms

x -y

x − 4x + 6y + (14x − 5y)

Combine like terms

x -4x +14x    +6y -5y

11x    +y

3x + 3y + 2(2x − y)

Distribute

3x+3y +4x -2y

Combine like terms

7x +y

Answer:

5(x + y) + 6(x − y)   =   11x − y

(5x − 3y) − x + 3x − 5y  =  7x − 8y

x − 4x + 6y + (14x − 5y)  =  11x + y

3x + 3y + 2(2x − y)  =  7x + y

and there is no match for 4(x + y) − 3(x + y)

Step-by-step explanation:

hope this helps :)

Which number produces a rational number when multiplied by 1/5 ?

Answers

D
A rational number is a number that can be expressed by a fraction so when y add to fractions it’s a rational number

Answer:

D. -2/3

Step-by-step explanation:

A rational number can be shown with a fraction and that's the only fraction in the answer choices

21
*Note: Picture not drawn to
If w = 4 in, I = 6 in, sı = 16.49 in, and s2 = 17.09 in, what is the surface area
A. 430.6 in2
B.
334.6 in 2
C.
491.76 in 2
• D.
369.44 in 2
Poset
Subm

Answers

Answer: gradpoint “b”

Step-by-step explanation:

What addition expression is shown on the
number line?
8
+
?
15

Answers

If this is 8 + _ = 15 the answer is 7

PLEASE ANSWER ASAP 10 points WILL MARK THE BRAINIEST!

Answers

What’s the question asking

What is 5 2/3 divided by 3 1/9?? PLEASE HELP!!! D:

Answers

Answer:1 23/28

Step-by-step explanation:

17/3/3 1/9

17/3/28/9

51/28

1 23/28

simplify 1/9 - 1/x over 1/81 - 1/x^2

Answers

Answer:

9x over x+9

Step-by-step explanation:

A building 50 feet high casts a shadow 68 feet long. Find the measure of the angle of elevation of the sun. Round answer to nearest while degree

Answers

Answer:

36 °

Step-by-step explanation:

In this case a rectangular triangle is formed so we can use the trigonometric functions to calculate the angle, they give us the value of the two legs, therefore we can apply the tangent function.

Tan A ° = opposite / adjacent

replacing:

Tan A ° = 50/68

Tan A ° = 0.735

A ° = arc tan (0.735)

A ° = 36.32

Which means that the angle of inclination is 36°

What is the slope of the line represented by the equation Y= 4/5x-3

Answers

Answer:

4/5

Step-by-step explanation:

y=mx+b where m is slope

Answer: 4/5

Step-by-step explanation:

Slope is denoted by m, hence the equation y = mx + b. In this equation, 4/5 is the slope

Find the discriminant: *
7x2 – 5 = 2x + 9x2

Answers

Answer:

-36

Step-by-step explanation:

You have to rearrange the quadratic into an equation where one side is zero.

This example works by subtracting 7x^2 from both sides leaving

-5 = 9x^2 - 7x^2 + 2x

-5 = 2x^2 + 2x

Now add 5 to both sides

-5 + 5 = 2x^2 + 2x + 5

0 = 2x^2 + 2x + 5

Now the equation you gave is in the form of a quadratic. The discriminate is found from

a = 2

b = 2

c = 5

b^2 - 4ac is the discriminate

2^2 - 4(2)(5)

4 - 40

Discrimate = 4 - 40 = - 36

Simplify x^2-9/x^2+x-12

Answers

Answer: \frac{x+3}{x+4}

Step-by-step explanation:

\frac{x^2-9}{x^2+x-12}

\frac{(x+3)(x-3)}{(x+4)(x-3)} =\frac{x+3}{x+4}

Answer: x⁴+x³-12x²-9/x²

What is the simplified form of the expression? 6/√5−√2

Answers

Answer:

The expression can be simplified into [tex]2\,\sqrt{5} +2\sqrt{2}[/tex]

with no square roots in the denominator

Step-by-step explanation:

We are considering the expression  [tex]\frac{6}{\sqrt{5}-\sqrt{2} }[/tex]  which I believe is what you wanted to type in your question.

The idea behind simplification of the expression, is normally associated with the rationalization of the denominator by eliminating irrational numbers from it. This means to get rid of any "irrational" number expression (like in this example, the square root of non-perfect square numbers ([tex]\sqrt{5}\,\,\,and \,\,\sqrt{2}[/tex]).

We proceed by writing this quotient in an equivalent form by multiplying its numerator and its denominator by what is called the "conjugate" of the denominator. In our case, multiply by " [tex](\sqrt{5} +\sqrt{2})[/tex] ", because such product will allow the denominator to become a rational number:

[tex]\frac{6}{\sqrt{5}-\sqrt{2} }\,*\,\frac{(\sqrt{5}+\sqrt{2} )}{(\sqrt{5}+\sqrt{2}) } =\frac{6\,(\sqrt{5}\,+\,\sqrt{2} )}{\sqrt{5}^2-\sqrt{2}^2 }=\frac{6\,(\sqrt{5}\,+\,\sqrt{2} )}{3}=2\,\sqrt{5} +2\sqrt{2}[/tex]

where we find all square roots eliminated from the denominator

A flight is plotted on a map having the scale
1 inch = 400 miles. On the map it is 9 72
inches from point A to point B. If a plane flies
this distant at the speed of 300 mph, how
long will the trip take?
inu​

Answers

Answer:

Step-by-step explanation:

9.72*400

= 3888 miles

Inform me if I am right

The sum of two numbers is 58. Their difference is 12. Find the numbers.

Answers

The correct answer is 23 and 35.

Solve these simultaneous equations.
3 pillows and 5 quilts cost £49
5 pillows and 5 quilts cost £55
Find the cost of one of each.

Answers

Answer:

pillow cost 3, quilt costs 5

Step-by-step explanation:

let p represent pillow and q represent quilt

rest is in pic attached

Find the infinite geometric sum of 4+2.4+1.44+...

Answers

Answer:

4+2.4=6.4+1.44=7.84

The infinite geometric sum of 4+2.4+1.44+... will be 10.

What is the common ratio?

At each point in the sequence, you multiply or divide by the common ratio. Divide two sets of phrases that follow one another to find it. Whichever pair of terms is picked, as long as they appear next to one another in the sequence, is irrelevant.

It is given that, the sequence is 4+2.4+1.44+...

The sequence is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.

It is obtained that the common ratio is,

r=2.4/4

r=0.6

The Sum of an infinite geometric sequence is,

S = a / (1-r)

S=4 / (1-0.6)

S=10

Thus, the infinite geometric sum of 4+2.4+1.44+... will be 10.

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question: if angle 1 measure 120 degrees what other angles would have the same 120 degrees?

Answers

Answer:

4,5, and 8

Step-by-step explanation:

corresponding angles

Answer:

Angle 4 coz vertical angle of angle 1

Angle 5 coz corresponding angle

Angle 8 coz vertical angle of angle 5

Kevin is buying a cover for his circular swimming pool. If the diameter is 20 feet, how much
material will it take to cover the pool? Use 3.14 for pi.
31.4 ft2
62.8 ft2
98.6 ft2
314 ft?

Answers

Answer:

314 ft²

Step-by-step explanation:

3.14(10)²

(3.14)(100)

314

The parent function is f(x) = 2^x-6 + 3 and the new function is g(x) = 2^x-3 + 2
How does the graph change fromf (x)tog(x)?
Select each correct answer.
The graph is shifted 3 units right.
The graph is shifted 1 unit up.
The graph is shifted 1 unit down.
The graph is shifted 3 units left.

Answers

Answer:

Options C and D.

Step-by-step explanation:

The given functions are

[tex]f(x)=2^{x-6}+3[/tex]

[tex]g(x)=2^{x-3}+2[/tex]

We need to find the transformation from f(x) to g(x).

Now, write the function g(x) in the form of f(x).

[tex]g(x)=2^{x+3-3-3}+2+1-1[/tex]

[tex]g(x)=[2^{(x+3)-6}+3]-1[/tex]

[tex]g(x)=f(x+3)-1[/tex]     ...(1)

The translation is defined as

[tex]g(x)=f(x+a)+b[/tex]                .... (2)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

From (1) and (2), we get

[tex]a=3>0[/tex], so graph shifts 3 units left.

[tex]b=-1<0[/tex], so graph shifts 1 unit down.

Therefore, the correct options are C and D.

Determine the value of k. answers: A) 18° B) 180° C) 108° D) 97°

Answers

Answer:

C) 108°

Step-by-step explanation:

72°+k°=180° (straight line)

Subtract 72° from both sides

k°=108°

Our answer is C)108°.

Value of k = 108°

The correct option is C.

What is exterior angle?

Exterior angles are angles that are parallel to the inner angles of a polygon but lie on the outside of it. The measure of an exterior angle is equal to the sum of the two internal opposite angles.

Given,

In a triangle,

Interior angles are

A = 72°,

B = 83° and

C = 25°

exterior angle A = k°

Exterior angle A = Interior angle B + Interior angle C

k = 83° + 25°

k = 108°

Hence, 108° is the value of k.

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NEED ANSWER ASAP. WILL MARK THE BRAINLIEST!

Answers

A(t)=4000(1+5.5/100)^4 choice 4955.30

Answer: C) 4955.30

Step-by-step explanation:

Where: A = P(1 + r/n)nt

A= 4000 (1+0.055/1)1*4

A= 4000 x (1.055)^4

A= 4955.30

which graph represents the function? NEED ANSWER ASAP 20 POINTS!!

Answers

Answer:

oof i have no clue

Step-by-step explanation:

sorry never learned this type of graphs good luck tho

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