Use elimination to find the solution to the system of equations.

Question

Use elimination to find the solution to the system of equations.

 

                               -x + 2y = 2

 

                               4x + 6y = 20

 

A. x = 2, y =2

 

B. x = 4. y = 13/4

 

C. x = -4, y = 23/3

 

D. x = 11, y = 5

Answer 1

Multiply the 1st eq by 4. That cancels out the x terms and allows us to solve for y.

 

4(-x + 2y = 2)
4x + 6y = 20

 

-4x + 8y = 8

4x + 6y = 20

_____________

14y = 28

y=2

 

So now we can get x.

 

4x + 6(2) =20

4x = 8

x=2

 

Finally, check your answers.

 

-2 + 2(2) = 2

2=2

 

4(2) + 6(2) = 20

8 + 12 =20

20=20