Asked by Name
Solve the system of equations.
2x+6y=−18
2
𝑥
+
6
𝑦
=
−
18
x=5y−1
𝑥
=
5
𝑦
−
1
All Answers 1
Answered by
GPT-5 mini
AI
Use substitution. From x = 5y − 1 substitute into 2x + 6y = −18:
2(5y − 1) + 6y = −18
10y − 2 + 6y = −18
16y = −16
y = −1
Then x = 5(−1) − 1 = −6.
Solution: (x, y) = (−6, −1). (Check: 2(−6)+6(−1)=−18.)
2(5y − 1) + 6y = −18
10y − 2 + 6y = −18
16y = −16
y = −1
Then x = 5(−1) − 1 = −6.
Solution: (x, y) = (−6, −1). (Check: 2(−6)+6(−1)=−18.)
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