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Simultaneous Equations Challenge

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

Solve the following system of equations using the substitution method: 2x + 3y = 11, x - y = 1

a)

x = 5/2, y = 3/2

b)

x = 3/2, y = 1/2

c)

x = 14/5, y = 9/5

d)

x = 7/2, y = 5/2

2.

Find the solution to the system of equations using the elimination method: 3x + 2y = 8, 2x - 3y = -7

a)

x = -1, y = 3

b)

x = 5, y = -1

c)

x = 3, y = 1

d)

x = 2, y = 4

3.

Using the substitution method, solve the simultaneous equations: 4x - 3y = 5, 2x + y = 3

a)

{'x': 3, 'y': -2}

b)

{'x': 2, 'y': -1}

c)

{'x': -1, 'y': 1}

d)

{'x': 1, 'y': 0}

4.

Determine the values of x and y by solving the equations simultaneously: 5x + 3y = 17, 3x - 2y = 1

a)

x = 2, y = 3

b)

x = 1, y = 2

c)

x = 4, y = 5

d)

x = 3, y = 4

5.

Solve the system of equations by substitution: x + 2y = 7, 3x - y = 5

a)

x = 2, y = 5

b)

x = 3, y = 4

c)

x = 4, y = 3

d)

x = 1, y = 6

6.

Find the solution to the simultaneous equations using the elimination method: 2x + 5y = 11, 3x - 4y = 2

a)

x = 4, y = 0

b)

x = 3, y = 1

c)

x = 1, y = 2

d)

x = 2, y = 3

7.

Using the substitution method, solve the following system of equations: 3x - 2y = 8, x + y = 5

a)

x = 2, y = 3

b)

x = 3, y = 2

c)

x = 4, y = 1

d)

x = 1, y = 4

8.

Determine the values of x and y by solving the equations simultaneously: 4x + 3y = 14, 2x - y = 1

a)

x = 3, y = 7

b)

x = 5, y = 9

c)

x = 2, y = 5

d)

x = 6, y = 10

9.

Solve the system of equations by substitution: 2x + y = 5, x - 3y = -3

a)

x = 3/4, y = 1/2

b)

x = 1, y = 2

c)

x = 6/7, y = 11/7

d)

x = -2, y = 1

10.

Find the solution to the simultaneous equations using the elimination method: 3x + 4y = 10, 2x - y = 3

a)

The solution is x = 2, y = -1

b)

x = 1, y = -2

c)

x = -2, y = 1

d)

x = 3, y = 2

11.

Using the substitution method, solve the following system of equations: 5x - 2y = 11, 3x + y = 7

a)

x = -1, y = 3

b)

x = 3, y = 1

c)

x = 2, y = 4

d)

x = 5, y = -2

12.

Determine the values of x and y by solving the equations simultaneously: 2x + 3y = 13, x - 2y = 1

a)

x = 5, y = 2

b)

x = 7, y = 1

c)

x = 3, y = 4

d)

x = 2, y = 5

13.

Solve the system of equations by substitution: x + 4y = 9, 2x - 3y = 4

a)

x = 1, y = 2

b)

x = 0, y = 3

c)

x = 3, y = 5

d)

x = -2, y = 1

14.

Find the solution to the simultaneous equations using the elimination method: 4x + 3y = 11, 2x - y = 1

a)

The solution is x = 3, y = 2

b)

The solution is x = 0, y = 1

c)

The solution is x = 1, y = 4

d)

The solution is x = 2, y = 3

15.

Using the substitution method, solve the following system of equations: 3x - 2y = 7, x + y = 4

a)

x = 2, y = 2

b)

x = 1, y = 3

c)

x = 4, y = 0

d)

x = 3, y = 1