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Solving Equations with Linear Expressions on One Side and Numbers on the Other Side

Solve 2x+y=...

Question

Solve $(2 x + y = 5)$ and $(3 x - y = 5)$ .

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Solution

$2 x + y = 5$
$3 x - y = 5$
Adding the two equations, we get
$5 x = 10$
$x = 2$
Therefore, $y = 1$

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