Question

Find the solution of the simultaneous linear equations using the graphical method.
$3y-2x=6$
$2x+y=2$

• A. $(2,0)$
• B. It has more than one solution.
• C. None of the above.

Answer 1

The correct option is C None of the above.

Let's rewrite the equations in intercept form.

$3y-2x=6$
Dividing by $6$ in both side.
$\Rightarrow \frac{-2x}{6}+\frac{3y}{6}=1$
$\Rightarrow \frac{x}{-3}+\frac{y}{2}=1$
$x-$intercept is $-3,$ and $y-$intercept is $2.$

$2x+y=2$
Dividing by $2$ in both side.
$\Rightarrow \frac{2x}{2}+\frac{y}{2}=1$
$\Rightarrow \frac{x}{1}+\frac{y}{2}=1$
$x-$intercept is $1,$ and $y-$intercept is $2.$

The graph of the lines is as follows:
Both the lines meet each other at $y-$intercept.

$\therefore$ The solution is $(0,2).$