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Byju's Answer
Standard X
Mathematics
Graphical Method of Finding Solution of a Pair of Linear Equations
Solve the fol...
Question
Solve the following system of equations graphically. Also find the points where the lines meet the
X
-axis.
x
+
2
y
=
5
2
x
−
3
y
=
−
4
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Solution
Given equations,
x
+
2
y
=
5
...(1) and
2
x
−
3
y
=
−
4
...(2)
From the graph it is clear that,point of intersection is
(
1
,
2
)
Point of intersection of equation(1) with X-axis =
(
5
,
0
)
Point of intersection of equation(2) with Y-axis=
(
−
2
,
0
)
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Similar questions
Q.
Solve graphically the following systems of linear equations. Also find the coordinates of the points where the lines meet axis of
y
.
x
+
2
y
−
7
=
0
,
2
x
−
y
−
4
=
0
Q.
Solve graphically each of the following systems of linear equations. Also, find the coordinates of the points where the lines meet the axis of x in each system.
(i) 2x + y = 6
x − 2y = −2
(ii) 2x − y = 2
4x − y = 8
(iii) x + 2y = 5
2x − 3y = −4
(iv) 2x + 3y = 8
x − 2y = −3