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Byju's Answer
Standard VI
Mathematics
Strategy for Solving an Algebraic Equation
In the algebr...
Question
In the algebraic expression,
8
x
+
7
=
70
+
x
, the value of unknown is
A
8
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B
9
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C
10
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D
11
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Solution
The correct option is
B
9
Given,
8
x
+
7
=
70
+
x
We need to solve
x
by isolating it on one side of the equation.
Step 1: Collect all variable terms on one side of the equation.
8
x
+
7
=
70
+
x
So, subtract
x
on both sides of the equation
⇒
8
x
−
x
+
7
=
70
+
x
−
x
⇒
7
x
+
7
=
70
Step 2:
Collect constant terms on other side of the equation by subtracting 7 from both the sides.
⇒
7
x
+
7
−
7
=
70
−
7
⇒
7
x
=
63
Step 3:
Make the coefficient of the variable term equal to 1 by dividing from 7 on both the sides.
⇒
7
x
7
=
63
7
⇒
x
=
9
Hence,
x
=
9
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