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Home » 3x + 4x + 5x = 60 \\ - Appfinity Technologies

3x + 4x + 5x = 60 \\ - Appfinity Technologies

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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Use elimination. Multiply equation (1) by 5 and equation (2) by 4:
15x - 20y &= 60 \quad \text{(from (1))\times 5} \\
8x + 20y &= 40 \quad \text{(from (2))\times 4}
\end{aligned}
Add the equations:
Substitute \( x = \frac{100}{23} \) into equation (2):
2\left(\frac{100}{23}\right) + 5y = 10 \Rightarrow \frac{200}{23} + 5y...
\Rightarrow 5y = 10 - \frac{200}{23} = \frac{230 - 200}{23} = \frac{30...
\Rightarrow y = \frac{30}{23 \times 5} = \frac{6}{23}
The intersection point is:

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