Question

Solve the following equation simultaneously using Graphical method:

$x+2y=5;y=-2x-2$

Then $(x,y)$ is equal to

• A. $(-3,4)$
• B. $(4,-2)$
• C. $(3,4)$
• D. $(4,2)$

Answer 1

The correct option is A $(-3,4)$

Given first line $x+2y=5$
Take two points $(5,0)$ and $(1,2)$ and join them by drawing a line.
Another line $y=-2x-2$
Take two points $(0,-2)$ and $(-1,0)$ and join them by drawing a line.
We get the graphs
$x+2y=5⟹$ brown line
$2x+y=2⟹$ blue line
the point of intersection is $(-3,4)$