y=2x-2,y=4x-4 find the graph
Answers
Step-by-step explanation:
ANSWER
2x−y=2 ----- (1)
2x−y=2 ----- (1)−4x−y=−4 ----- (2)
From equation (1)
From equation (1)y=2x−2 ------ (3)
Assume the value of x = 1, 2 and put those values in equation (3)
Assume the value of x = 1, 2 and put those values in equation (3)If x=1,y=2(1)−2=0
Assume the value of x = 1, 2 and put those values in equation (3)If x=1,y=2(1)−2=0If x=2,y=2(2)−2=2
On the above basis, the following points are:
On the above basis, the following points are:X 1 2
On the above basis, the following points are:X 1 2Y 0 2
Now plotting (1, 0), (2, 2) and joining them, we get a straight line.
From equation (2),
From equation (2),−4x−y=−4
From equation (2),−4x−y=−4y=−4x+4 ------ (4)
Assume the value of x=1,2 and put those values in equation (3)
Assume the value of x=1,2 and put those values in equation (3)If x=1,y=−4(1)+4=0
Assume the value of x=1,2 and put those values in equation (3)If x=1,y=−4(1)+4=0If x=2,y=−4(1)+4=−2
Now table the following points:
Now table the following points:X 1 2
Now table the following points:X 1 2Y 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 (see fig.)
These lines intersect at the point (1, 0) and therefore the solution of the equation is x=1,y=0 (see fig.)solution.