x+y=8,x+y=6 answer the question graph calucation
Answers
To solve such a system you should regard each equation as a function of x and y, where
x
1
+
y
1
=
8
, or
y
1
=
−
x
1
+
8
To be able to plot the graph you will note that x=0 gives y=8, and y=0 gives x=8, so the two points (0, 8) and (8, 0) are on the line.
x
2
−
y
2
=
4
, or
y
2
=
x
2
−
4
x=0 gives y=-4, and y=0 gives x= 4, so this line must go through the points (0, -4) and (4, 0)
This gives the following linear graphs:
enter image source here
The point you are interested in, has to be on both lines at the same time, i.e. it must be where the two lines cross. The graph shows that the two lines cross in (6,2), i.e. x=6, y=2, which, therefore, is the solution you want.
It is always good to check the solution one has got by incerting the found value in the two equations:
x
+
y
=
8
⇒
6
+
2
=
8
Check
x
−
y
=
4
⇒
6
−
2
=
4
Check
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