Question

Solve the following pairs of equations, graphically:

$x=0$ and $x+3y=6$

• A. $(0,2)$
• B. $(2,0)$
• C. $(0,-2)$
• D. $(-2,0)$

Answer 1

The correct option is A $(0,2)$

The solution set of equation $x+3y=6$ is as follows:

If $x=0$ then

$0+3y=6\Rightarrow 3y=6\Rightarrow y=2$

If $x=3$ then

$3+3y=6\Rightarrow 3y=6-3=3\Rightarrow y=1$

The required points are $(0,2),(3,1)$.

Another equation of line given is $x=0$.

Plot all the above points in the graph. Since the point of intersection in the graph is $(0,2)$.

Hence the solution is $x=0,y=2$.