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Solve: and . Find .

Class 10Pair of Linear Equations in Two VariablesAlgebra — Systems of Equations
  • A1
  • B−2
  • C2
  • D−1

Step-by-Step Solution

From the second equation . Substituting: → → → , and then . Check: ✓ and ✓. Answering −2 reports instead of ; dividing as if it were gives +1.
Answer: D) −1

Key idea: Substitution method

**Steps**:
1. From one equation, express ONE variable in terms of the other.
2. Substitute into the OTHER equation. You get a one-variable equation.
3. Solve.
4. Plug back to find the other variable.

**Example**: ... (i); ... (ii).
- From (ii): .
- Substitute in (i): → → .
- Then .
- Solution: .

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