Question

Solve the following pair of equations:
$13x+11y=70,11x+13y=74$

Answer 1

$13x+11y=70$ $............\left(1\right)$

$11x+13y=74$ $............\left(2\right)$

Multiply by $13$ in equation (1) and multiply by $11$ in equation (2), we get

$169x+143y=910$ $............\left(3\right)$

$121x+143y=814$ $............\left(4\right)$

On subtracting equation (4) from (3), we get

$x=2$

On putting the value of $x$ in equation (1), we get

$13\times 2+11y=70$

$11y=44$

$y=4$

Hence, this is the answer.