Make table of following e
quation and draw graph
2x+y=2,x-y=1
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x
=
1
y
=
0
Explanation:
x
+
y
=
1
--------------------- (1)
2
x
−
y
=
2
------------------(2)
Solving the 1st equation for
y
, we get
y
=
1
−
x
Substitute
y
=
1
−
x
in equation (2)
2
x
−
(
1
−
x
)
=
2
Simplify and solve for
x
2
x
−
1
+
x
=
2
3
x
=
2
+
1
x
=
3
3
=
1
x
=
1
Substitute the value
x
=
1
in equation (1) and solve for
y
1
+
y
=
1
y
=
1
−
1
y
=
0
=
1
y
=
0
Explanation:
x
+
y
=
1
--------------------- (1)
2
x
−
y
=
2
------------------(2)
Solving the 1st equation for
y
, we get
y
=
1
−
x
Substitute
y
=
1
−
x
in equation (2)
2
x
−
(
1
−
x
)
=
2
Simplify and solve for
x
2
x
−
1
+
x
=
2
3
x
=
2
+
1
x
=
3
3
=
1
x
=
1
Substitute the value
x
=
1
in equation (1) and solve for
y
1
+
y
=
1
y
=
1
−
1
y
=
0
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