Question

Draw the graphs of the equations $5x-y=5$ and $3x-y=3$. Determine the co-ordinates of the vertices of the triangle formed by these lines and the $y$ axis.

Answer 1

Solution:

Given equations are

$5x-y=5$—(i)

$3x-y=3$.—(ii)

From equation (i)

$y=5x-5$.

From equation (ii)

$y=3x-3$.

The solution table for $5x-y=5$

$x$	$2$	$1$	$0$
$y$	$5$	$0$	$-5$

The solution table for $3x-y=3$

$x$	$1$	$2$	$0$
$y$	$0$	$3$	$-3$

The graphical representation of these lines will be

Hence, the above graph shows that the triangle formed is $∆ABC$ by the lines and the $y$ axis. The coordinates of the vertices are$A(1,0),B(0,-3)\&C(0,-5)$.