Question

Draw the graph of 2x − 3y = 4. From the graph, find whether x = −1, y = −2 is a solution or not.

Answer 1

Given: $2x-3y=4$ or, $y=\frac{2x-4}{3}$

When $x=2$, then $y=\frac{0}{3}=0$

When $x=5$, then $y=\frac{6}{3}=2$

When $x=-1$, then $y=-\frac{6}{3}=-2$

Thus, we get the following table:

$\text{x}$	2	5	-1
$y$	0	2	-2

Plot the points $(2,0),(5,2)$ and $(-1,-2)$ on the graph paper. Join them and extend them in both the directions.



Thus, we see that $x=-1,y=-2$ is a solution of the equation.