Question

Which of these strategies would eliminate a variable in the system of equations?

(2z + 8y = -3
3x + 6y = -4
Choose all answers that apply:
Multiply the top equation by 3, multiply the bottom equation by -2, then add the
equations.
Multiply the top equation by -4, multiply the bottom equation by 3, then add the
equations.
Multiply the top equation by 3, multiply the bottom equation by 4, then subtract the
bottom equation from the top equation.

Answer 1

A.)

Explanation:

The strategy that would eliminate a variable would be A.) Multiply the top equation by 3, multiply the bottom equation by -2, then add the equations.

Because when you multiply 3 by 2 you get 6x. Then you multiply -2 by 3 getting -6x. When you add -6x and 6x you get 0, meaning that the variable x would be eliminated.