Question

age 8 of 8
Solving Equations Using Substitution Quick Check
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Question
Solve the system of two equations using substitution.
y=2+3x
𝑦
=
2
+
3
𝑥

4x−3y=−16
4
𝑥
−
3
𝑦
=
−
16
(1 point)
Responses

(2, 8)
(
2
,

8
)
left parenthesis 2 comma 8 right parenthesis

(2, 10)
(
2
,

10
)
left parenthesis 2 comma 10 right parenthesis

(−2, −4)
(
−
2
,

−
4
)
left parenthesis negative 2 comma negative 4 right parenthesis

(−2, 4)

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

y = 2 + 3(2) = 8

Solution: (2, 8)