- A1/3
- B3
- C1/2
- D2
Step-by-Step Solution
Add the two equations: → . Subtract them: . So and . Since , we get (and ). Check: ✓. Answering 3 stops at and forgets to invert; 1/2 is .
Answer: A) 1/3
With and , the pair and becomes and . Find .
Class 10Pair of Linear Equations in Two VariablesAlgebra — Systems of Equations
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: .
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: .
Master this chapter in 30 minutes a day.
Don't just memorise the answer — build a daily practice habit.
Practice 5 Similar Questions Free →All Pair of Linear Equations in Two Variables practice questions
More Class 10 Pair of Linear Equations in Two Variables practice
To use cross-multiplication on 2x + 3y = 7 and 5x − y = 9, the equations must first be…Sonal draws the lines 4x − y = 4 and 3x + 2y = 14 on graph paper. Reading her graph, at…A shopkeeper's notes read: '4 kg of rice and 3 kg of lentils cost ₹500' and, on another…The pair 4x + 6y = 11 and 2x + ky = 7 has NO solution. Find k.Solve: x/3 + y/4 = 4 and x/2 − y/4 = 1. Find x.