Use the system of equations to answer the questions. 5x+4y=3
y=−2x+6
The value of y from the second equation is substituted back into the first equation. What is the resulting equation?

What is the value of x?

What is the value of y?

The resulting equation after substitution is

5x + 4(-2x + 6) = 3

quite literally you replaced y with what it equals (as said in the second equation)

you then distribute the 4 within the parenthesis

5x + -8x + 24 = 3

You make it easier

5x - 8x +24  = 3

you combine like terms

-3x + 24 = 3

you subtract 24 from both sides

-3x = -21

you divide both sides by -3

meaning x = 7

you then use that value x = 7 and substitude it for the x in the other equation.

That makes the y equation

y = -2(7) + 6

you then solve

y = -14+6

y = 6 - 14

y = -8

apex says the answer is true