Question

Solve, graphically, the following pairs of equations:
$3x+7y=27$
$8-y=\frac{5}{2}x$.

Answer 1

$3x+7y=27\Rightarrow 3x=27-7y$
$\Rightarrow x=\frac{27-7y}{3}$
The table for $3x+7y=27$ is

$x$	$9$	$2$	$-5$
$y$	$0$	$3$	$6$

Also, we have
$8-y=\frac{5}{2}x$
$\Rightarrow x=(8-y)\times \frac{2}{5}$
The table for $5x+2y=16$ is

$x$	$2$	$4$	$0$
$y$	$3$	$-2$	$8$

Intersection point $=(2,3)$.