solve the following pairs of simultaneous equations graphically x - y +1 =0 x+y=5
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x−y=−5 ----- (1)
x+y=1 ----- (2)
From equation (1) assume the value of x and y to satisfy the equation to zero.
x−y+5=0 ------ (3)
Put x=0,y=5 in equation (3)
0−5+5=0
0=0
Again put x=−2,y=3 in equation (3)
−2−3+5=0
−5+5=0
0=0
Now plotting (0,5),(−2,3) and joining them, we get a straight line.
From equation (2) assume the value of x and y to satisfy the equation to zero.
x+y−1=0 ----- (4)
Put x=0,y=1 in equation (4)
0+1−1=0
0=0
Again put x=−2,y=3 in equation (4)
−2+3−1=0
−3+3=0
0=0
Plotting (0,1),(−2,3) and joining them, we get another straight line.
These lines intersect at the point (−2,3) and therefore the solution of the equation is x=−2,y=3
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