Solve the system of two equations using substitution.

Question

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, −4)
left parenthesis negative 2 comma negative 4 right parenthesis
(2, 8)

Answer 1

To solve this system of two equations using substitution, we first need to solve for y in the first equation and then substitute that expression into the second equation.

Given:
y = 2 + 3x
4x - 3y = -16

Substitute the value of y from the first equation into the second equation:
4x - 3(2 + 3x) = -16
4x - 6 - 9x = -16
-5x - 6 = -16
-5x = -10
x = 2

Now substitute x = 2 back into the first equation to solve for y:
y = 2 + 3(2)
y = 2 + 6
y = 8

Therefore, the solution to the system of equations is (2, 8). So the correct answer is:
(2, 8)