2J Simultaneous equations using elimination

Solve the following pairs of simultaneous linear equations by using elimination
3x - 4y = -1
6x - 5y = 10

• x = 5, y = 4

• x = 3, y = 2
• x = -2, y = -3
• x = -3, y = -2

Solve the following pairs of simultaneous linear equations by using elimination

3x - 4y = -1
-5x - 2y = 19

• x = 3, y = 2
• x = -3, y = -2

• x = 1, y = 2
• x = -5, y = -4

Solve the following pairs of simultaneous linear equations by using elimination

5x - 4y = 7
-3x - 2y = 9

• x = 1, y = -2
• x = 2, y = -1
• x = -1, y = 2
• x = -1, y = -3

Solve the following pairs of simultaneous linear equations by using elimination
2x - 7y = 11
5x + 4y = -37

• x = 3, y = -7
• x = 5, y = -9
• x = -3, y = 7
• x = -5, y = -3

Solve the following pairs of simultaneous linear equations by using elimination

3x + 5y = 36
7x + 2y = -3

• x = 1, y = 2
• x = -3, y = 9

• x = 1, y = -74
• x = -1, y = 2

Solve the following pairs of simultaneous linear equations by using elimination

2x - 4y = 6
5x + 3y = -11

• x = -1, y = -2

• x = -7, y = 3
• x = 3, y = -7
• x = -3, y = 7

The sum of two numbers is 30 and their difference is 12.
Find the numbers.

• 18 and 12
• 20 and 10
• 21 and 9

• 22 and 8

Two supplementary angles differ by 30°. Write two equations and find the two angles.

• The two angles are 75° and 105°

• The two angles are 80° and 100°
• The two angles are 82° and 98°
• The two angles are 84° and 96°

The perimeter of a rectangular city block is 800 metres and the difference between the length and
width is 123 metres. What are the dimensions of the city block?

• Length: 461.5 metres, Width: 338.5 metres

• Length: 261.5 metres, Width: 138.5 metres

• Length: 300 metres, Width: 100 metres
• Length: 250 metres, Width: 150 metres

Find the solution to these pairs of simultaneous equations
2x + 3y = 3
2x + 3y = 1

• x = 1, y = 2
• x = 2, y = 1
• Infinitely many solutions

• No solution