The following system is to be solved ?

Question

If the following system is to be solved using the addition method, by what constant should one of the equations be multiplied if the x terms are to drop out?

{-5x - 3y = -4

{30x 8y = -7

Answer 1

assuming that the second line is supposed to read "30x+8y = -7,

you multiply the first line by 6 :

-30x - 18y = -24

Then add the two lines together and the x term is gone.

Answer 2

Multiply the top equation by six if you want x to cancel.