Question

Solve the following pairs of equations, graphically:

$3x-2y=0$ and $y+3=0$

• A. $(-2,-3)$
• B. $(2,-3)$
• C. $(-2,3)$
• D. $(-3,-3)$

Answer 1

The correct option is A $(-2,-3)$

The solution set of equation $3x-2y=0$ is as follows:

If $x=0$ then

$3\times 0-2y=0\Rightarrow 0-2y=0\Rightarrow -2y=0\Rightarrow y=0$

If $x=-2$ then

$3\times (-2)-2y=0\Rightarrow -6-2y=0\Rightarrow -2y=6\Rightarrow y=-3$

The required points are $(0,0),(-2,-3)$.

Another equation of line given is $y+3=0$ or $y=-3$.

Plot all the above points in the graph. Since the point of intersection in the graph is $(-2,-3)$.

Hence the solution is $x=-2,y=-3$.