How do you solve the following system?: $x + 7 y = 53, x - 9 y = - 56$ $x +7y =53, x -9y = -56$

Question

1532 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-01-05T13:22:25

$x = \frac{85}{16}$ $x=85/16$ and $y = \frac{109}{16}$ $y=109/16$

$x+7y=53...................(i)$
$x-9y=-56...................(ii)$

Subtract $(ii)$ from $(i)$

$implies 16y=109$
$implies y=109/16$

Put $y=109/16$ in $(i)$
$implies x+7(109/16)=53$
$implies x+763/16=53$
$implies x=53-763/16=(848-763)/16=85/16$
$implies x=85/16$

How do you solve the following system?: x +7y =53, x -9y = -56x+7y=53,x−9y=−56x +7y =53, x -9y = -56