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Byju's Answer
Standard X
Mathematics
Graphical Method of Finding Solution of a Pair of Linear Equations
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Question
Solve graphically the following systems of linear equations. Also find the coordinates of the points where the lines meet axis of
y
.
2
x
+
y
−
11
=
0
,
x
−
y
−
1
=
0
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Solution
2
x
+
y
−
11
=
0
x
−
y
−
1
=
0
plotting graph
:
2
x
+
y
−
11
=
0
x
0
11
2
5
y
11
0
1
plotting graph
:
x
−
y
−
1
=
0
x
0
1
2
y
−
1
0
1
The solution is
(
4
,
3
)
The points where the lines meet
y
-axis are
:
(
0
,
11
)
and
(
0
,
−
1
)
.
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Similar questions
Q.
Solve graphically each of the following systems of linear equations. Also find the coordinates of the points where the lines meet axis of y.
(i) 2x − 5y + 4 = 0,
2x + y − 8 = 0
(ii) 3x + 2y = 12,
5x − 2y = 4
(iii) 2x + y − 11 = 0,
x − y − 1 = 0
(iv) x + 2y − 7 = 0,
2x − y − 4 = 0
(v) 3x + y − 5 = 0,
2x − y − 5 = 0
(vi) 2x − y − 5 = 0,
x − y − 3 = 0