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3 years ago

Solve the following system of equations: x − 2y = 5 2x − 4y = 10

1 answer:

5 0

$\left\{\begin{array}{ccc}x-2y=5\\2x-4y=10&|divide\ both\ sides\ by\ (-2)\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}x-2y=5\\-x+2y=-5\end{array}\right}\\.\ \ \ \ \ \ \ \ \ \ \ 0=0-true\\\\Answer:infinitely\ many\ solutions\ \left\{\begin{array}{ccc}x\in\mathbb{R}\\y=\dfrac{x-5}{2}\end{array}\right$

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see the explanation

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we know that

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