How to do graph for 2x+y=8 and x+2y=7
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2x + y = 8 ( we need two solution of the given equations to draw the graph)
putting x = 0
2 (0)+ y= 8
y = 8
putting y = 0
2x +0 = 8
x = 8/2 = 4
(0,8) and (4,0)
Similarly x+2y=7
putting x = 0
0+ 2y = 7
y = 7/2 = 3.5
putting y = 0
x + 2(0) = 7
x = 7
(0,3.5) and (7,0)
HOPES THIS HELPS YOU................☺☺
You can take this point on x -axis amd y- axis to draw the graph of the given equation.......
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step by step explanation.
2x+y=7(eqn.1)
x+2y=8(eqn.2)
multiply equation 1 by 2 we get,
4x+2y=7(eqn.3)
now subtract eqn.2 from eqn. 3,
we get,
4x+2y=7
x+2y=8
– – –
––––––––
3x = -1
––––––––
or x= –1/3 or 0.33
putting the value of x in eqn. 1,
we get,
-1/3+2y=8
2y= 8+1/3
2y= 8.33
y= 4.17
points will be (0.33, 4.17)
make Graph.
Done
2x+y=7(eqn.1)
x+2y=8(eqn.2)
multiply equation 1 by 2 we get,
4x+2y=7(eqn.3)
now subtract eqn.2 from eqn. 3,
we get,
4x+2y=7
x+2y=8
– – –
––––––––
3x = -1
––––––––
or x= –1/3 or 0.33
putting the value of x in eqn. 1,
we get,
-1/3+2y=8
2y= 8+1/3
2y= 8.33
y= 4.17
points will be (0.33, 4.17)
make Graph.
Done
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