Question

Solve the system by elimination.

2x — 4y = 6

—2x — 3y= —6

Show/ Explain your work and solve

Answer 1

x = 3

y = 0

Explanation:

2x - 4y = 6

-2x - 3y= -6, multiply both sides of the equation by -1:

2x + 3y = 6, then 2x = 6 - 3y

substitute for 2x in first equation:

(6 - 3y) -4y = 6

6 - 3y - 4y = 6

combine like terms:

-7y = 0

y = 0

2x - 0 = 6

divide both sides by 2:

x = 3