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,. What’s the answer

1 answer

To solve the system using substitution, we can substitute the expression for y in the second equation with the expression given in the first equation.

First equation: y = 2 + 3x
Second equation: 4x - 3y = -16

Substitute the expression for y in 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 for x, we can substitute it back into the first equation to find the value for y:
y = 2 + 3(2)
y = 2 + 6
y = 8

Therefore, the solution to the system of equations is x = 2 and y = 8, or in ordered pair form, (2, 8).