Question Solve the system of two equations using substitution. y=2+3x 4x−3y=−16 (1 point) Responses (2, 10) left parenthesis 2 comma 10 right parenthesis (−2, 4) left parenthesis negative 2 comma 4 right parenthesis (2, 8) left parenthesis 2 comma 8 right parenthesis (−2, −4)

Answer 1

To solve the system of equations using substitution, we will first solve the first equation for y and then substitute that into the second equation.

1) y = 2 + 3x

Now, we will substitute y into the second equation:

4x - 3(2 + 3x) = -16
4x - 6 - 9x = -16
-5x - 6 = -16
-5x = -10
x = 2

Now that we have found the value of x, we can substitute it back into the first equation to find y:

y = 2 + 3(2)
y = 2 + 6
y = 8

Therefore, the solution to the system of equations is (2, 8).