Question

What is the solution for the system of equations?

Use the substitution method to solve.

2x+y=20−5y=−6x+12

Enter your answer in the boxes.

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Answer 1

rearrange the first equation2x + y = 20take away 2x from both sidesy = 20 - 2x substitute this y value into the second equation6x - 5(20 - 2x) = 126x -100 +10x = 12add 100 to both sides6x + 10x = 11216x = 112divide both sides by 16 x = 7Substitute this x value into the first equation to get y.2(7) + y = 2014 + y = 20take away 14 from both sidesy = 6
So, y = 6 and x = 7

Answer 2

2x+y=20 and -5y=6x+12 are your equations.

You can turn 2x+y=20 into y=-2x+20

Substitute this value of y into the other equation.

-5(-2x+20)=-6x+12

10x-100=-6x+12

16x=112

x=7

Substitute this value of x into the other equation.

2(7)+y=20

y=6

Your answer is x=7 and y=6.