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Byju's Answer
Standard XII
Mathematics
Distance Formula
Plot the grap...
Question
Plot the graph for the following equations:
y
=
4
5
x
+
3
5
y
=
4
x
+
15
The above lines represents
solutions.
A
zero
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B
one
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C
infinite number of
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Solution
The correct option is
C
infinite number of
Given equations are
y
=
4
5
x
+
3
and
5
y
=
4
x
+
15
Plot the line
y
=
4
5
x
+
3
At x = 0, y =
4
5
(
0
)
+
3
y = 3
At x = 15, y =
4
5
(
15
)
+
3
y = 15
So, the line passses through the points (0, 3) and (15, 15).
Plot the line
5y
=
4
x
+
15
At x = 0, 5y = 15
⟹
y
=
15
5
= 3
At x = 15, 5y = 4(15) + 15
⟹
y
=
75
5
= 15
So, the line passses through the points (0, 3) and (15, 15).
The graph for the above is:
Since both equations overlap each other throughout the graph, the equations have infinite number of solutions.
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Similar questions
Q.
Solve the following system of linear equations graphically.
4x − 5y − 20 = 0
3x + 5y − 15 = 0
Determine the vertices of the triangle formed by the lines representing the above equation and the y-axis.