Question

Which of the following steps would you perform to the system of equations below so that the equations have equal x-coefficients?

4x+2y=4
8x-y=18

A. Multiply both sides of the top equation by 2
B. Multiply both sides of the top equation by 4
C. Divide both sides of the top equation by 4
D. Divide both sides of the top equation by 2

Answer 1

The answer is A. Multiply both sides of the top equation by 2

So since we know that 4 × 2 = 8, it would only make sense to multiply both sides by 2 so that the top equation has the x coefficient be 8.

Answer 2

Answer: A) Multiply both sides of the top equation by 2.

Step-by-step explanation: The x-coefficient of the first equation (the number that is next to the x) is 4, and the x-coefficient of the second equation is 8, in order to them to be equal, we need to multiply the first equation by 2 (both sides), so the correct answer is the corresponding to option A, the equations would be:

8x+4y=8 first equation (after multiply it by 2)

8x-y=18 second equation