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Which statement is correct about a linear equation in one variable for Class 7?

Class 7Simple EquationsSimple Equations

AIt has exactly one solution
BIt always has two solutions
CIt has no solution
DThe variable appears squared

Step-by-Step Solution

A Class-7 linear equation in one variable has exactly one solution, found by the balance/transposition method.

Answer: A) It has exactly one solution

Key idea: Two-sided equations: variable on both sides

When the variable appears on both sides, gather all variable terms on one side and all constants on the other.

Example:

5 x + 3 = 2 x + 18

.
Move

2 x

to the left (flip):

5 x - 2 x + 3 = 18

Simplify:

3 x + 3 = 18

Move +3:

3 x = 15

Divide:

x = 5

.

**Verify**:

5 (5) + 3 = 28

;

2 (5) + 18 = 28

✓.

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