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Three of these equations are satisfied by . Which one is NOT?

Class 7Simple EquationsSimple Equations
  • A
  • B
  • C
  • D

Step-by-Step Solution

Substitute into each: ✓, ✓, and ✓. But , not 8, so that one fails — its solution is . Checking by substitution is far quicker here than solving all four equations.
Answer: C)

Key idea: Translating word problems into equations

Three steps:
1. **Pick a variable** for the unknown ('let be the number of …').
2. **Translate the words into an equation** using the operations the problem describes.
3. **Solve and answer in the original units.**

Example: 'Three times a number plus 7 equals 22. Find the number.'
Let = the number. Equation: . Solve: .
Answer: the number is 5.

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