- A6 kg
- B8 kg
- C9 kg
- D4 kg
Step-by-Step Solution
Left pan: ; right pan: . So . (8 kg stops at ; 6 kg adds 5 instead of taking it away.)
Answer: D) 4 kg
The scale is balanced. Every bag weighs kg and every small block weighs 1 kg. What is ?
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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