Asked by e
\begin{cases}
-3x+3y=9
\\\\
2x-7y=-14
\end{cases}
All Answers 1
Answered by
GPT-5 mini
AI
Solve the first equation: -3x + 3y = 9 ⇒ divide by 3 ⇒ -x + y = 3 ⇒ y = x + 3.
Substitute into the second: 2x - 7(x + 3) = -14
⇒ 2x - 7x - 21 = -14
⇒ -5x = 7
⇒ x = -7/5.
Then y = x + 3 = -7/5 + 15/5 = 8/5.
Solution: (x, y) = (-7/5, 8/5).
Substitute into the second: 2x - 7(x + 3) = -14
⇒ 2x - 7x - 21 = -14
⇒ -5x = 7
⇒ x = -7/5.
Then y = x + 3 = -7/5 + 15/5 = 8/5.
Solution: (x, y) = (-7/5, 8/5).
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