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Home » Subtract the second equation from the third: - Esdistancia

Subtract the second equation from the third: - Esdistancia

📅 March 17, 2026 👤 scraface

Mar 17, 2026

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点 \((1, 2)\) を通り傾き \(-\frac{1}{2}\) の直線の式は次のとおりです:
y - 2 = -\frac{1}{2}(x - 1)
y - 2 = -\frac{1}{2}x + \frac{1}{2} \implies y = -\frac{1}{2}x + \frac...
この直線と \(y = 2x + 3\) の交点を見つけるために、方程式を等しくします...
2x + 3 = -\frac{1}{2}x + \frac{5}{2}
分数をなくすために両辺に 2 を掛けます:
4x + 6 = -x + 5
5x = -1 \implies x = -\frac{1}{5}
\(x = -\frac{1}{5}\) を \(y = 2x + 3\) に代入します:
y = 2\left(-\frac{1}{5}\right) + 3 = -\frac{2}{5} + 3 = \frac{13}{5}

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