Question

Solve graphically the simultaneous equations given below. Take the scale as $1cm=1$ unit on both the axes.
$x-2y-4=0$
$2x+y=3$

• A. $x=1,y=-1$
• B. $x=2,y=-1$
• C. $x=3,y=-1$
• D. $x=7,y=-1$

Answer 1

The correct option is B $x=2,y=-1$

Plotting $x-2y-4=0$
For $x=0$ we get $y=-2$
For $y=0$ we get $x=4$
Join the two points $(0,-2)$ and $(4,0)$ by drawing line.
Plotting $2x+y=3$
For $x=0$ we get $y=3$
For $y=0$ we get $x=1.5$
Join the two points $(0,3)$ and $(1.5,0)$ by drawing line.
the point of intersection of both lines is $(2,-1)$