x+y=7
3x-y=7
2x +y = 8
x+2y=7
find the solutions for pair of linear equation by graphical method
Answers
Answer:
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Step-by-step explanation:
1) x+y=7 .... Rearranging
x=7-y ....(1)
(i)When y=4 (ii)When y=2 (iii)When y=-1
x=7-y x=7-y x=7-y
x=7-4 x=7-2 x=7-(-1)
x=3 x=5 x=7+1
x=8
(iv)When y=6
x=7-y
x=7-1
x=6
2) 3x-y=1 .... Rearranging
y=1-3x ....(2)
(i)When x=1 (ii) When x=2 (iii)When x=-1
y=1-3x y=1-3x y=1-3x
y=1-3(1) y=1-3(2) y=1-3(-1)
y=1-3 y=1-6 y=1+3
y=-2 y=-5 y=4
(iv)When x=3
y=1-3x
y=1-3(3)
y=1-9
y=-8
3)2x+y=8 .... Rearranging
y=8-2x ....(3)
(i)When x=4 (ii)When x=3 (iii)When x=-1
y=8-2x y=8-2x y=8-2x
y=8-2(4) y=8-2(3) y=8-2(-1)
y=8-8 y=8-6 y=8-(-2)
y=0 y=2 y=8+2
y=10
(iv)When x=2
y=8-2x
y=8-2(2)
y=8-4
y=4
4)x+2y=7 .... Rearranging
x=7-2y .....(4)
(i)When y=4 (ii)When y=3 (iii)When y= -1
x=7-2y x=7-2y x=7-2y
x=7-2(4) x=7-2(3) x=7-2(-1)
x=7-8 x=7-6 x=7+2
x=-1 x=1 x=9
(iv)When y=5
x=7-2y
x=7-2(5)
x=7-10
x=-3
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