Q:

x + 6y = 2 4x - 3y = 10 Pick the first step to solving this system of equations using the addition method.Add the equation first to get: 5x + 3y = 12 and then solve for x.Add -6y to both sides of the equation to isolate the x variable in the top equation.Multiply the top equation by 4 thus eliminating the x variable when the equations are added together.Multiply the bottom equation by 2 thus eliminating the y variable when the equations are added together.

Accepted Solution

A:
This one is the correct answer----->Multiply the bottom equation by 2 thus eliminating the y variable when the equations are added together.

X + 6y = 2 ....top
4x - 3y = 10...bottom

if we multiply the bottom equation by 2 .......... =>  8x - 6y = 20
if we add it to the top one..........>(8+1)x +(6-6)y = (20+2)
then we solve for x =>   x = 22/9 

then with the top equation, we solve for y == >  y = -2/27