Question

Solve the equations using graphical method: $2x-y=2$ and $-4x-y=-4$

• A. (1, -1)
• B. (1, 0)
• C. (2, -1)
• D. (0, 1)

Answer 1

Answer: (B)

(1, 0)

$2x-y=2$ ----- (1)
$-4x-y=-4$ ----- (2)
From equation (1)
$y=2x-2$ ------ (3)
Assume the value of x = 1, 2 and put those values in equation (3)
If $x=1,y=2\left(1\right)-2=0$
If $x=2,y=2\left(2\right)-2=2$
Now plotting (1, 0), (2, 2) and joining them, we get a straight line.
From equation (2),
$-4x-y=-4$
$y=-4x+4$ ------ (4)
Assume the value of $x=1,2$ and put those values in equation (3)
If $x=1,y=-4\left(1\right)+4=0$
If $x=2,y=-4\left(1\right)+4=-2$
Plotting (1, 0), (2, -2) and joining them, we get another straight line.
These lines intersect at the point (1, 0) and therefore the solution of the equation is $x=1,y=0$