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Class 10 Pair of Linear Equations in Two Variables worksheet
CBSE Mathematics. Substitution, elimination, consistency; word problems. Every sheet has 20 questions in three sections and an answer key, and the numbers change every time.
Sample questions
Real questions from this chapter, as the app sets them. Tap Answer to see the answer and working.
Section A · multiple choice
- 1.
The solution of 2x + 2y = −8 and 4x − 5y = −16 is:
- (−4, 0)
- (−3, 0)
- (4, 0)
- (0, −4)
Answer
(a) (−4, 0)
solve: x = −4, y = 0
- 2.
The pair 5x + 5y = 12 and 20x + 20y = 48 has:
- a unique solution
- no solution
- infinitely many solutions
- exactly two solutions
Answer
(c) infinitely many solutions
a₁/a₂ = b₁/b₂ = c₁/c₂
- 3.
For what value of k does 5x − 5y = −9 and 15x + ky = −26 have no solution?
- k = 15
- k = −5
- k = −15
- k = −14
Answer
(c) k = −15
a₁/a₂ = 1/3, so b₂ = 3 × (−5) = −15
Section B · short answer
- 4.
Solve by substitution: x + y = 4 and 6x + 3y = 36
Answer
x = 8, y = −4
x = 4 − y; substitute into the second
- 5.
Solve by elimination: x + y = 15 and 5x − 7y = 3
Answer
x = 9, y = 6
make the coefficients of one variable equal, then subtract
Section C · long answer
- 6.
4 pencils and 5 erasers cost Rs 55. 3 pencils and 4 erasers cost Rs 42. Find the cost of one pencil and one eraser.
Answer
pencil Rs 10, eraser Rs 3
4x + 5y = 55; 3x + 4y = 42
Fresh sheets for your child
In the app, every Pair of Linear Equations in Two Variables sheet is new: the app remembers the questions your child has already had and leaves them out. Print the sheet as a PDF, or use notebook mode and write the answers in a notebook.
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