Write the solution of the pair of linear equations
$a_{1} x + b_{1} y + c_{1} = 0 a_{2} x + b_{2} y + c_{2} = 0$

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Solution

To find solution of pair of linear equation
Let equation be
$a_{1} x + b_{1} y + c_{1} = 0 a_{2} x + b_{2} y + c_{2} = 0$
By multiplication method
$\frac{x}{b_{1} c_{2} - b_{2} c_{1}} = \frac{y}{a_{2} c_{1} - a_{1} c_{2}} = \frac{1}{a_{1} b_{2} - a_{2} b_{1}} x = \frac{b_{1} c_{2} - b_{2} c_{1}}{a_{1} b_{2} - a_{2} b_{1}} y = \frac{a_{2} c_{1} - a_{1} c_{2}}{a_{1} b_{2} - a_{2} b_{1}}$
$∴ x$ and $y$ represent pair of linear equation .

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Similar questions

a_{1} x + b_{1} y + c_{1} = 0

a_{2} x + b_{2} y + c_{2} = 0

a_{1} x + b_{1} y + c_{1} = 0

a_{2} x + b_{2} y + c_{2} = 0

a_{1} x + b_{1} y + c_{1} = 0

a_{2} x + b_{2} y + c_{2} = 0

a_{1} x + b_{1} y + c_{1} = 0

a_{2} x + b_{2} y + c_{2} = 0

Solve the two equations using method of elimination.

$a_{1} x + b_{1} y + c_{1} = 0$
$a_{2} x + b_{2} y + c_{2} = 0$

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