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Worksheets

Mastering Linear Equations

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

Solve the system: 2x + 3y = 6 and x - y = 1.

a)

(1, 2)

b)

(0, 2)

c)

(9/5, 4/5)

d)

(3, 0)

2.

Find the values of x and y: 3x + 4y = 10 and 2x - y = 3.

a)

x = 1, y = 2

b)

x = 3, y = 0

c)

x = 0, y = 2

d)

x = 2, y = 1

3.

Determine the solution for: x + 2y = 8 and 3x + y = 7.

a)

x = 2, y = 3

b)

x = 1, y = 4

c)

x = 0, y = 4

d)

x = 6/5, y = 17/5

4.

What are the values of x and y in: 5x - 2y = 4 and 3x + 4y = 18?

a)

x = 1, y = 2

b)

x = 2, y = 3

c)

x = 3, y = 4

d)

x = 0, y = 5

5.

Solve for x and y: 4x + y = 12 and 2x - 3y = -6.

a)

x = 2, y = 4

b)

x = 15/7, y = 24/7

c)

x = 3, y = 0

d)

x = 1, y = 8

6.

Find the solution to the equations: x + y = 5 and 2x + 3y = 12.

a)

(1, 4)

b)

(2, 3)

c)

(3, 2)

d)

(0, 5)

7.

Determine x and y: 6x + 2y = 14 and 3x - y = 5.

a)

x = 0, y = 7

b)

x = 2, y = 1

c)

x = 3, y = 0

d)

x = 1, y = 4

8.

Solve the following system: 7x + 3y = 21 and 2x - 5y = -1.

a)

(3, 0)

b)

(1, 3)

c)

(2.5, 1.1667)

d)

(0, 7)

9.

What are the values of x and y for: 8x + 4y = 32 and 5x + 2y = 20?

a)

x = 5, y = -2

b)

x = 4, y = 0

c)

x = 0, y = 4

d)

x = 2, y = 8

10.

Find the solution for: 9x - 3y = 27 and 4x + y = 10.

a)

(3, 0)

b)

(0, 10)

c)

(5, 5)

d)

(19/7, -6/7)

11.

Solve the system: 2x + 5y = 20 and 3x - 2y = 4.

a)

(60/19, 52/19)

b)

(10, 2)

c)

(5, 3)

d)

(0, 4)

12.

Determine the values of x and y: 10x + 2y = 50 and 3x + 4y = 24.

a)

x = 3, y = 6

b)

x = 2, y = 10

c)

x = 5, y = 0

d)

x = 4, y = 5

13.

What are the solutions for: x - 2y = -3 and 4x + y = 11?

a)

(19/9, 23/9)

b)

(0, 0)

c)

(3, 4)

d)

(1, 5)

14.

Find x and y in the equations: 5x + 3y = 15 and 2x - y = 1.

a)

x = 18/11, y = 25/11

b)

x = 2, y = 5

c)

x = 1, y = 4

d)

x = 3, y = 0

15.

Solve for x and y: 3x + 2y = 12 and 4x - y = 5.

a)

x = 0, y = 6

b)

x = 3, y = 0

c)

x = 2, y = 3

d)

x = 1, y = 4