MATH SOLVE

3 months ago

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

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