What is the solution to the system of equations? 4x-3y=-9 4x−3y=−9 x=-2y+6 x=−2y+6

Answer 1

4x - 3y = -9

x = -2y + 6

Take these steps:

1. The bottom equation gives you x in terms of y, so substitute -2y + 6 for x in the top equation, and get an equation in y only.
2. Solve the top equation for y.
3. Substitute the result for y into the bottom equation, and get an equation in x only.
4. Solve for x in the bottom equation, and you are done.

Answer 2

Teresa, here’s how:

the second equation gives a formula for x, substitute that for x in the first equation.

4x-3y = -9

substituting

4(-2y+6) -3y =-9

multiply out

-8y +24 -3y = -9

now collect terms and solve for y.

then substitute that value into the first equation, and solve for x

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