Plot 2x-3y=3 and 3x-4y=5 on graph
Answers
Answer:
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Answer:
The given pair of
linear equations is
2x−3y=1 or 2x−3y−1=0
3x−4y=1 or 3x−4y−1=0
On comparing the given equations with standard form of pair of linear
equations i.e a
1
x+b
1
y+c
1
=0 and a
2
x+b
2
y+c
2
=0, we
get
a
1
=2,b
1
=−3 and c
1
=−1
and a
2
=3,b
2
=−4 and c
2
=−1
a
2
a
1
=
3
2
,
b
2
b
1
=
−4
−3
=
4
3
and
c
2
c
1
=
−1
−1
=1
∴
a
2
a
1
=
b
2
b
1
=
c
2
c
1
The lines representing the given pair of linear equations will intersect
at a point.
Now, table for 2x−3y=1 or
y=
3
2x−1
Now, table for 3x−4y=1 or y=
4
3x−1
Here, the lines intersecting at point C i.e (−1,−1)
Hence, the unique solution is x=−1 and y=−1.
