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

Answer 1

To solve the system of equations using substitution, we first solve one of the equations for one of the variables and substitute it into the other equation.

From the first equation, we have:
y = 2 + 3x

Now we substitute this expression for y in the second equation:
4x - 3(2 + 3x) = -16

Simplifying this equation:
4x - 6 - 9x = -16
-5x - 6 = -16
-5x = -16 + 6
-5x = -10
x = -10 / -5
x = 2

Now substitute this value of x 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). Answer: (2, 8)