Question

Solve the following pairs of equations, graphically:

$x=4$ and $2x-3y+1=0$

• A. $(3,4)$
• B. $(4,3)$
• C. $(-4,3)$
• D. $(4,-3)$

Answer 1

The correct option is B $(4,3)$

The solution set of equation $2x-3y+1=0$ or $2x-3y=-1$ is as follows:

If $x=4$ then

$2\times 4-3y=-1\Rightarrow 8-3y=-1\Rightarrow -3y=-1-8\Rightarrow -3y=-9\Rightarrow y=3$

If $x=1$ then

$2\times 1-3y=-1\Rightarrow 2-3y=-1\Rightarrow -3y=-1-2\Rightarrow -3y=-3\Rightarrow y=1$

The required points are $(4,3),(1,1)$.

Another equation of line given is $x=4$.

Plot all the above points in the graph. Since the point of intersection in the graph is $(4,3)$.

Hence the solution is $x=4,y=3$.