x-y=4,x+y=10solve this equation to graphically mathod
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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:
X12Y02Now 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:
X12Y0-2Plotting (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.)
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