In order to solve the following system of equations by addit

In order to solve the following system of equations by addition, which of the following could you do before adding the equations so that one variable will be eliminated when you add them? 4x - 2y = 7 3x - 3y = 15 A. Multiply the top equation by -3 and the bottom equation by 2 Multiply the top equation by 3 and the bottom equation by 2 Multiply the top equation by 1/3 Multiply the top equation by 3 and the bottom equation by 4

Solution

Given equations are 4x-2y=7 and 3x-3y=15

To eliminate one variable by adding,

the option A is the correct one.

Solution:

4x-2y=7

3x-3y=15

By multiplting the first equation with \'-3\' : -12x+6y=-21

By multiplying the second equayion with \'2\' : 6x-6y=30

By adding the resultant equations, -12x+6y+6x-6y=-21+30

-12x+6x+6y-6y=30-21

-6x=9

x=-3/2=-1.5

Therefore, By multiplying top equation by \'-3\' and bottom equation by \'2\', we can eliminate one variable by adding the equtions.

So, Option A is the correct one.