Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve this system of equations using substitution, we first solve the first equation for y in terms of x:

y = 2 + 3x

Next, we substitute this expression for 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). So, the correct answer is (2, 8) in coordinate form.