Question

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

Answer 1

Answer:

D.

Hope this helped!!!

Answer 2

ANSWER

A. (2,-2)

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.

$x = \frac{18}{9}$

$x = 2$

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).