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Solution of an Equation using Trial and Error Method
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x = 5, y = 2 is a solution of the linear
Question
x
=
5
,
y
=
2
is a solution of the linear equation
A
x
+
2
y
=
7
B
5
x
+
2
y
=
7
C
x
+
y
=
7
D
5
x
+
y
=
7
Medium
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Solution
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Correct option is C)
Step 1: Check which of the equation passes through (5,2).
The solution should satisfy the appropriate equation.
So, let us investigate each option by substituting
x
=
5
&
y
=
2
(
A
)
x
+
2
y
=
7
.
L.H.S.
=
5
+
2
×
2
=
9
=
R.H.S.
∴
It is not the appropriate equation.
(
B
)
5
x
+
2
y
=
7
L.H.S.
=
5
×
5
+
2
×
2
=
2
9
=
R.H.S.
∴
It is not the appropriate equation.
(
C
)
x
+
y
=
7
L.H.S.
=
5
+
2
=
7
=
R.H.S
∴
It is the appropriate equation.
(
D
)
5
x
+
y
=
7
L.H.S.
=
5
×
5
+
2
=
2
7
=
R.H.S.
∴
It is not the appropriate equation.
Hence, option C is correct.
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