- AExactly one
- BNone
- CExactly two
- DInfinitely many
Step-by-Step Solution
A linear equation in one variable such as ax + (a not 0) has exactly one solution, .
Answer: A) Exactly one
How many solutions does a linear equation in one variable have?
Class 8Linear Equations in One VariableLinear Equations
Key idea: The five-step recipe
For any linear equation in one variable, follow this order:
1. **Open brackets** if any (use distributive property).
2. **Clear fractions** by multiplying both sides by the LCM of all denominators.
3. **Move all variable terms to one side**, all constants to the other (transposition — flip signs).
4. **Combine like terms** on each side.
5. **Divide** both sides by the coefficient of the variable.
Then **verify** by substituting back into the original equation. Always.
1. **Open brackets** if any (use distributive property).
2. **Clear fractions** by multiplying both sides by the LCM of all denominators.
3. **Move all variable terms to one side**, all constants to the other (transposition — flip signs).
4. **Combine like terms** on each side.
5. **Divide** both sides by the coefficient of the variable.
Then **verify** by substituting back into the original equation. Always.
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