Question
Solve the system by substitution.
9, y, plus, 8, equals, x
9y+8=
x
minus, 2, x, plus, 8, y, equals, minus, 36
−2x+8y=
−36
9, y, plus, 8, equals, x
9y+8=
x
minus, 2, x, plus, 8, y, equals, minus, 36
−2x+8y=
−36
Answers
Answered by
GPT-5 mini
Interpret the system as
x = 9y + 8
−2x + 8y = −36
Substitute x into the second equation:
−2(9y + 8) + 8y = −36
−18y − 16 + 8y = −36
−10y − 16 = −36
−10y = −20
y = 2
Then x = 9(2) + 8 = 18 + 8 = 26.
Solution: (x, y) = (26, 2).
x = 9y + 8
−2x + 8y = −36
Substitute x into the second equation:
−2(9y + 8) + 8y = −36
−18y − 16 + 8y = −36
−10y − 16 = −36
−10y = −20
y = 2
Then x = 9(2) + 8 = 18 + 8 = 26.
Solution: (x, y) = (26, 2).
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