Question

Using the same axes of co-ordinates and the same unit, solve graphically:
$x+y=0$ and $3x-2y=10$.
(Take at least $3$ points for each line drawn).

• A. $x=2$ and $y=-2$
• B. $x=2$ and $y=0$
• C. $x=2$ and $y=-1$
• D. $x=2$ and $y=-3$

Answer 1

The correct option is A $x=2$ and $y=-2$

Plotting equation $x+y=0$
we get,$y=-1$
$=>x+(-1)=0$
$=>x=1$
0ne point is $(1,-1)$
Let $x=-1$ then,
$=>-1+y=0$
$=>y=1$
Other point is $(-1,1)$
Plotting equation $3x-2y=10$
Let $y=-5$
$=>3x-2(-5)=10$
$=>x=0$
One point is (0.-5)
Let $x=4$ then,
$=>3\left(4\right)-2y=10$
$=>-2y=10-12$
$=>y=1$
Other point is $(4,1)$