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Byju's Answer
Standard X
Mathematics
Method of Substitution to Find the Solution of a Pair of Linear Equations
Solve 3x+4y...
Question
Solve
3
x
+
4
y
=
10
and
2
x
−
2
y
=
2
by substitution method.
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Solution
By substitution method,
3
x
+
4
y
=
10
&
2
x
−
2
y
=
2
⇒
2
(
x
−
y
)
=
2
⇒
x
−
y
=
1
___ (2)
∴
x
=
y
+
1
→
(
1
)
.
Substituting in equation (2).
∴
3
x
+
4
y
=
10
⇒
3
(
y
+
1
)
+
4
y
=
10
⇒
3
y
+
3
+
4
y
=
10
⇒
7
y
=
7
⇒
y
=
1
∴
x
=
1
+
1
=
2
∴
x
=
2
,
y
=
1
Suggest Corrections
2
Similar questions
Q.
Solve by using substitution method.
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Q.
Solve the following pair of equations by the elimination method and the substitution method:
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Q.
Question 1 (ii)
Solve the following pair of linear equations by the elimination method and the substitution method:
3x + 4y = 10 and 2x - 2y = 2
Q.
Solve: 3x + 4y = 10, 2x − 2y = 2 by the method of elimination.
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Standard X Mathematics
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