Question

To solve this system of equations using the combination method, what could you multiply each equation by to cancel out the x-variable?

A: 5x−2y=10
B: 4x+3y=7

Question 1 options:

Multiply A by -4 and B by 5


Multiply A by 4 and B by 3


Multiply A by -3 and B by 2


Multiply A by 3 and B by 2

Answer 1

Since you want to cancel x-terms, you're only concerned with the x-term coefficients, 5 and 4. You will want to use the opposite of one of these. It usually works well to multiply the equation with the least y-coefficient by the negative multiplier. That is ...

Multiply A by -4 and B by 5.