# NCERT Class 10 Mathematics Chapter 3 Pair of Linear Equations in Two Variables Solutions: In-Text and Exercise Questions Explained | SwaVid

This document provides real questions from the NCERT Class 10 Mathematics textbook, Chapter 3: "Pair of Linear Equations in Two Variables," along with d...

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# Pair of Linear Equations in Two Variables

## Find the gaps before this chapter finds them for you.

## Related chapters

Chapter 3 · Class 10 Mathematics

This document provides real questions from the NCERT Class 10 Mathematics textbook, Chapter 3: "Pair of Linear Equations in Two Variables," along with detailed, step-by-step solutions. The questions are transcribed directly from the textbook exercises to ensure accuracy.

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Exercise 3.1

Answer: The number of girls is 7 and the number of boys is 3.

Remember to choose points that are easy to plot and ensure the lines are drawn accurately.

Exercise 3.3

Exercise 3.4

Exercise 3.5

Exercise 3.6

Exercise 3.7 (Optional)

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- Let the number of girls be 'x' and the number of boys be 'y'.
- According to the first condition, 10 students took part in the quiz: x + y = 10. (Equation 1)
- According to the second condition, the number of girls is 4 more than the number of boys: x = y + 4, which can be rewritten as x - y = 4. (Equation 2)
- To solve graphically, we find at least two points for each equation.
- For Equation 1 (x + y = 10):
- If x = 0, y = 10. (0, 10)
- If y = 0, x = 10. (10, 0)
- If x = 5, y = 5. (5, 5)
- For Equation 2 (x - y = 4):
- If x = 0, y = -4. (0, -4)
- If y = 0, x = 4. (4, 0)
- If x = 7, y = 3. (7, 3)
- Plot these points on a graph paper and draw the lines. The point where the two lines intersect is the solution.
- The lines intersect at the point (7, 3).
- NCERT Class 10 Mathematics textbook: Mathematics : Chapter 3: Pair of Linear Equations in Two Variables

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