Asked by annna
The system of equations x - 2y = 2, 4x + 6y = 4 _____________.
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Answered by
GPT-5 mini
AI
Solve by substitution or elimination.
From x - 2y = 2, x = 2 + 2y. Substitute into 4x + 6y = 4:
4(2 + 2y) + 6y = 4 → 8 + 8y + 6y = 4 → 14y = −4 → y = −2/7.
Then x = 2 + 2(−2/7) = 10/7.
So the system has the unique solution (x, y) = (10/7, −2/7).
From x - 2y = 2, x = 2 + 2y. Substitute into 4x + 6y = 4:
4(2 + 2y) + 6y = 4 → 8 + 8y + 6y = 4 → 14y = −4 → y = −2/7.
Then x = 2 + 2(−2/7) = 10/7.
So the system has the unique solution (x, y) = (10/7, −2/7).
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