Question

Use the elimination method to solve the system of equations. Choose the correct order pair 6x+2y=8 12x+y =22

Answer 1

D.

Hope this helped!!!

Answer 2

A. (2,-2)

Step-by-step explanation

The given system of equations is:

`6x + 2y = 8...(1)`

and

`12x + y = 22...(2)`

Divide through the first equation by 2,

`\implies \: 3x + y = 4...(3)`

Subtract equation (3) from equation (2) to eliminate y.

`\implies \: 12x - 3x = 22 - 4`

`9x = 18`

Divide both sides by 9.

`x = (18)/(9)`

`x = 2`

Put x=2 into one of the equations, say equation (3) to find y,

`3(2) + y = 4`

`6 + y = 4`

`y = 4 - 6`

`y = - 2`

The solution is (2,-2).