Question

Solve each system of equations by substitution.

-2x+3y=11
x=4y-3

Answer 1

first put the 2nd eqn. into standard form.

Answer 2

i did that but i still couldn't get the right answer

Answer 3

that's because there is more to it. what did you get when you put the 2nd eqn. into standard form?

Answer 4

-2x + 3y = 11
3y = 11+2x

Now, we know x = 4y-3
Substituting x=4y-3 in 3y=11+2x
3y = 11 + 2 (4y-3)
3y = 11 + 8y - 6
3y = 8y + 5
3y - 8y = 5
-5y = 5
y = -1
Substituting y = -1 in x = 4y-3
x = 4(-1) - 3
x = -4-3 = -7