CBSE Class 10 Mathematics Pair of Linear Equation In Two Variables Worksheet Set C

1. Solution of the simultaneous linear equations: 2x/y – y/2 = - 1/6 and x/2 + 2y/3 = 3 is
(a) x = 2, y = – 3
(b) x = – 2, y = 3
(c) x = 2, y = 3
(d) x = – 2, y = – 3
Answer : C

2. The value of x satisfying both the equations 4x – 5 = y and 2x – y = 3, when y = –1 is
(a) 1
(b) –1
(c) 2
(d) –2
Answer : A

3. Which of the following is not a solution of the pair of equations 3x – 2y = 4 and 6x – 4y = 8?
(a) x = 2, y = 1
(b) x = 4, y = 4
(c) x = 6, y = 7
(d) x = 5, y = 3
Answer : D

Answer the questions (Q 4 to Q 9) using best suitable algebric method.

4. If 2x + 5y – 1 = 0, 2x + 3y – 3 = 0, then
(a) x = 1, y = – 3
(b) x = 3, y = –1
(c) x = 2, y = 5
(d) x = 5, y = – 3
Answer : B

5. If x + 2y – 3 = 0, 3x – 2y + 7 = 0, then
(a) x = –1, y = 2
(b) x = 1, y = 2
(c) x = 2, y = 3
(d) x = – 2, y = – 3
Answer : A

6. If 2x = 5y + 4, 3x – 2y + 16 = 0, then
(a) x = 2, y = –2
(b) x = 3, y = –3
(c) x = 4, y = 5
(d) x = – 8, y = – 4
Answer : D

7. If 4/x + 3y = 8, 6/x - 4y = - 5, then
(a) x = 2, y = 2
(b) x = 1, y = –1
(c) x = 2, y = –2
(d) x = 3, y = – 3
Answer : A

8. If 2x + 3y = 11 and 2x – 4y = –24, then the value of ‘m’ for which y = mx + 3 is
(a) 0
(b) 1
(c) –1
(d) – 2
Answer : C

9. If 2x + 3y = 11 and x – 2y = –12, then the value of ‘m’ for which y = mx + 3 is
(a) 1
(b) –1
(c) 2
(d) – 2
Answer : B

Answer the questions (Q 10 & Q 11) by elimination method.

10. If 7(y + 3) – 2(x + 2) = 14, 4(y – 2) + 3(x – 3) = 2, then
(a) x = 1, y = 4
(b) x = 3, y = 5
(c) x = 5, y = 1
(d) None of these
Answer : C

11. If 4/x + 5y = 7, 3/x + 4y = 5, then
(a) x = 1/3, y = –1
(b) x = 8, y = 3
(c) x = 4, y = 7
(d) x = 5, y = 9
Answer : A

Answer the following by the method of substitution.

12. If 3 – (x – 5) = y + 2, 2(x + y) = 4 – 3y, then
(a) x = 13/4, y = 9/10
(b) x = 7/16, y = 5/8
(c) x = 4/9, y = 9/12
(d) x = 26/3, y = −8/3
Answer : D