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CBSE Class 10 Mathematics Worksheet

UNIT II: Algebra - Pair of linear equations in two variable

1.

if the solution of eqn 2x+3y=7 and ,(a+b)x+(2a-b)y=21 has infinetely many solutions then

A)

a=1, b=5

B)

a=5, b=1

C)

a=-1, b=5

D)

a=5, b=-1

2.
Choose the correct option: One equation of a pair of dependent linear equations is –5x + 7y = 2. The second equation can be ______.
A) 10x + 14y + 4 = 0 B) –10x – 14y + 4 = 0 C) –10x + 14y + 4 = 0 D) 10x – 14y = –4
3.
Indicate the pair or pairs representing simultaneous linear equations (solvable). 7x – 3y = 5 & 2x + 5y = 1
4.
The sum of two natural numbers is 25 and their difference is 7. Find the numbers.
5.
Choose the correct option: A pair of linear equations which has a unique solution x = 2, y = –3 is _________.
A) x + y = –1, 2x - 3y = -5 B) 2x + 5y = –11, 4x+10y=-22 C) 2x – y = 1, 3x + 2y = 0 D) x – 4y –14 = 0, 5x - y -13 = 0
6.
Choose the correct option: Each point on the graph of pair of two lines is a common solution of the
lines in case of _______.
A) Infinitely many solutions B) Only one solution C) No solution D) None of these
7.

Thevalue ok k for which  the system of eqn x+2y-3=0 and 5x+ky +7=0 has no solution is

A)

10

B)

6

C)

3

D)

1

8.
Solve the pair of linear equations x – y = 2 and x + y = 2. Also find p if p = 2x + 3.
9.
Choose the correct option: The value of c for which the pair of equations cx – y = 2 and 6x – 2y = 3 will have
infinitely many solutions is ________.
A) 3
B) – 3
C) –12
D) No value
10.

The pair of equations y = 0 and y = –7 has

A)

One solution

B)

Two solutions

C)

Infinitely many solutions

D)

No solution

11.
Indicate the pair or pairs representing simultaneous linear equations (solvable). 6x - 4y = 8 & 3x - 2y = 4
12.

 If x = a, y = b is the solution of the equations x + y = 5 and 2x – 3y = 4, then the values of a and b are respectively

A)

6,-1

B)

2,3

C)

1,4

D)

19/5,6/5

13.
Indicate the pair or pairs representing simultaneous linear equations (solvable). 2x + 3y = 7 & 6x + 9y = 11
14.
Choose the correct option: Graph of every linear equation in two variables represent a ________.
A) Point B) Straight line C) Curve D) Triangle
15.
Choose the correct option: If x = a, y = b is the solution of the equations x – y = 2 and x + y = 4, then the values
of a and b are, respectively ________.
A) 3 and 5 B) 5 and 3
C) 3 and 1
D) –1 and –3
16.

If we have two variables x and y when x=a and y=b is the solution of equations x-y=2 and x+y = 4, then what will be the value of a and b

A)

a=3, b=1

B)

a=1, b=3

C)

a=-3, b=1

D)

a=3, b=-1

17.
If solvable, solve: 3x – 2y = 1 & 3x + 2y = 5
18.
Choose the correct option: For a pair to be consistent and dependent the pair must have ________.
A) No solution B) Unique solution C) Infinitely many solutions D) None of these
19.

The value of c for which the pair of equations cx – y = 2 and 6x – 2y = 3 will have infinitely many solutions is

A)

3

B)

-3

C)

-12

D)

no value

20.

If  ,then system of eqn ax+by=c and lx+my=n

A)

has a unique solution

B)

has no solution 

C)

has infinetely many solution

D)

may or may not have a solution

CBSE Class 10 Mathematics Worksheet

UNIT II: Algebra - Pair of linear equations in two variable

Answers

1.
Option B
2.
Option D

3.
7/2 ? -3/5, so the two equations represent simultaneous equations; in this case they have only one solution.
4.
16, 9
5.
Option D
6.
Option A
7.
Option A

8.
(2, 0) P = 7
9.
Option D
10.
Option D

11.
6/3 = -4/-2 = 8/4
Simultaneous equations; have infinite solutions.
12.
Option D

13.
2/6 = 3/9 ? 7/11

Not simultaneous equations.
14.
Option B
15.
Option C
16.
Option A

17.
x = 1, y = 1
18.
Option C
19.
Option A
20.
Option A

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