Question

Find the point of intersection.
y=2x –4-4x+y=-10
Show the result of the first step:
Solution:

Answer 1

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(1)−2=0

If x=2,y=2(2)−2=2

On the above basis, the following points are:

X 1 2

Y 0 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(1)+4=0

If x=2,y=−4(1)+4=−2

Now table the following points:

X 1 2

Y 0 -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