3x + 5y = k #160;5x 5y = 5 #160; 8x = k 5 x= k 58 Substitute x in #160; x y = 1 k 58 + = y k+38 = y (x,y) = ( ...

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

Solve 3x+5y...

Question

Solve $3 x + 5 y = k, x - y = - 1$

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Solution

$3 x + 5 y = k$
$5 x - 5 y = - 5 - ------------- -$
$8 x = k - 5$

$x = \frac{k - 5}{8}$

Substitute $x$ in
$x - y = - 1$

$\frac{k - 5}{8} + = y$

$\frac{k + 3}{8} = y$

$(x, y) = (\frac{k - 5}{8}), (\frac{k + 3}{8})$

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