Solve the following systems of equations:
$3 x - 7 y + 10 = 0$
$y - 2 x - 3 = 0$

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Solution

Given equations are : $3 x - 7 y + 10 = 0...........1 2 x - y + 3 = 0..............2$

Multiply second equation by 7

$\Rightarrow 14 x - 7 y + 21 = 0$

Subtract two equations ;

$\Rightarrow 11 x + 11 = 0$

$\Rightarrow x = - 1$

Substitute x in equation (2); $\Rightarrow y = 1$

$∴ x = - 1, y = 1$

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