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 4 right parenthesis

(−2, −4)

left parenthesis negative 2 comma negative 4 right parenthesis

(2, 10)

left parenthesis 2 comma 10 right parenthesis

(2, 8)

left parenthesis 2 comma 8 right parenthesis

Answer 1

Substitute y = 2 + 3x into 4x − 3y = −16:

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

Then y = 2 + 3(2) = 8.

Solution: (2, 8).