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Mathematics
Mathematics
Problem
4. Which of the following pairs of linear equations are consistent/inconsistent? If consistent, obtain the solution graphically: (i)
x
+
y
=
5
,
2
x
+
2
y
=
10
x+y=5, \quad 2 x+2 y=10
x
+
y
=
5
,
2
x
+
2
y
=
10
(ii)
x
−
y
=
8
,
3
x
−
3
y
=
16
x-y=8, \quad 3 x-3 y=16
x
−
y
=
8
,
3
x
−
3
y
=
16
(iii)
2
x
+
y
−
6
=
0
,
4
x
−
2
y
−
4
=
0
2 x+y-6=0, \quad 4 x-2 y-4=0
2
x
+
y
−
6
=
0
,
4
x
−
2
y
−
4
=
0
(iv)
2
x
−
2
y
−
2
=
0
,
4
x
−
4
y
−
5
=
0
2 x-2 y-2=0, \quad 4 x-4 y-5=0
2
x
−
2
y
−
2
=
0
,
4
x
−
4
y
−
5
=
0
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