Chapter 3 · Class 10 CBSE · Worksheet

Pair of Linear Equations in Two Variables Worksheet — Class 10 CBSE Maths

Download a free printable worksheet with 30 questions at 3 difficulty levels. Includes full answer key.

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30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.

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Sample Questions — Pair of Linear Equations in Two Variables

Here are 8 sample questions from this worksheet. Download the full PDF for all 30 questions.

Q1.For a pair of linear equations in two variables, (x, y) = (p, q) is a solution if:

A.It satisfies the first equation only.

B.It satisfies the second equation only.

C.It satisfies both equations simultaneously.

D.It is a point on the x-axis.

Difficulty: Easy

Q2.If the graph of a pair of linear equations in two variables shows two lines intersecting at a single point, then the system of equations has:

A.No solution.

B.Exactly one solution.

C.Infinitely many solutions.

D.Two solutions.

Difficulty: Easy

Q3.For what value of 'k' will the pair of linear equations x + ky = 3 and 3x + 2y = 1 NOT have a unique solution?

A.2/3

B.1/3

C.-2/3

D.-1/3

Difficulty: Easy

Q4.Ravi is trying to solve the system: x + y = 7 and 2x - 3y = 4 using the substitution method. He correctly expresses x from the first equation as x = 7 - y. Which of the following is the correct next step to substitute into the second equation?

A.2(7 - y) - 3y = 4

B.7 - y - 3y = 4

C.2x - 3(7 - y) = 4

D.2(7 - y) - 3(7 - y) = 4

Difficulty: Easy

Q5.If x and y are two numbers such that their sum is 8 and twice the first number minus the second number is 7, which pair of linear equations represents this?

A.x + y = 7, 2x - y = 8

B.x + y = 8, x - 2y = 7

C.x + y = 8, 2x + y = 7

D.x + y = 8, 2x - y = 7

Difficulty: Easy

Q6.A pair of equations is called 'linear' because their graphical representation always forms:

A.Curves.

B.Circles.

C.Straight lines.

D.Paraboloids.

Difficulty: Easy

Q7.Which of the following pairs of equations represents parallel lines (no solution)?

A.x + 2y = 4, 2x + 4y = 8

B.x + 2y = 4, 2x - 4y = 6

C.x + 2y = 4, 3x + 6y = 10

D.x + 2y = 4, 4x + 8y = 16

Difficulty: Easy

Q8.If the graphs of two linear equations are the same line, how many solutions does the system have?

A.No solution.

B.Exactly one solution.

C.Infinitely many solutions.

D.Two solutions.

Difficulty: Easy

Answer Key — Sample Questions+

Q1:It satisfies both equations simultaneously.

Q2:Exactly one solution.

Q3:2/3

Q4:2(7 - y) - 3y = 4

Q5:x + y = 8, 2x - y = 7

Q6:Straight lines.

Q7:x + 2y = 4, 3x + 6y = 10

Q8:Infinitely many solutions.

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About This Worksheet

Topic	Pair of Linear Equations in Two Variables
Board	CBSE
Class	10
Total Questions	30 (10 Easy + 10 Medium + 10 Hard)
Answer Key	Included
Price	Free

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