(Q.27). Check whether the following equations are consistent or inconsistent. Solve them graphically
3x + 2y = 5
2x - 3y = 7
Given: 3x + 2y = 5
2x - 3y = 7
a
1
a
2
=
,
b
1
b
2
=
-
∴
a
1
a
2
≠
b
1
b
2
∴ The linear equations are consistent.
3x + 2y = 5
x
y
(x,y)
1
(1,
)
3
-
(3,-
)
2x - 3y = 7
x
y
(x,y)
2
-
(2,-
)
5
(5,
)
Clear
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