Simultaneous Linear Equations

What is the solution to the system of equations?

• (5, 2)

• (2, 5)

• (-5, 2)

• (-2, -5)

What is the solution to the system of equations?

• (-3, -4)

• (-4, 3)

• (4, -3)

• (-3, 4)

Solve and find the value of k for the following simultaneous equations:

3h − k = 2

2h + k = 8

• 2

• 4

• 7

• 10

A fruit seller sells apples at $2 each and oranges at $4 each. On Monday, his sold a total of 57 fruits and earned a revenue of $158. Find out the total number of apples sold on Monday.

• 35

• 15

• 22

• 43

Solve the system by using the elimination method.

{ 8x + 14y = 4

{ -6x - 7y = -10

• (2, 4)

• (-2, 4)

• (4, 2)

• (-4, 2)

Using the simultaneous equations 7x+10y=-37 and 4x+9y=-31, find the solution, giving your answer as a coordinate pair

• (0, -3)
• (-1, -4)
• (-1, -2)
• (-1, -3)

Using the simultaneous equations 2x+10y=-14 and 3x+1y=7, find the solution, giving your answer as a coordinate pair

• (4, -2)
• (3, -2)
• (3, -1)
• (-2, 3)

Using the simultaneous equations 7x+8y=104 and 2x-8y=-32, find the solution, giving your answer as a coordinate pair

• (8, 6)
• (8, 5)
• (8, 7)
• (6, 8)

Using the simultaneous equations 2x+8y=-38 and 7x+7y=-7, find the solution, giving your answer as a coordinate pair

• (6, -6)
• (5, -6)
• (5, -5)
• (-6, 5)

Rectangle A is 3 times longer than rectangle B and twice as wide. If the perimeter of A is 50cm and the perimeter of B is 20cm, find the length and width of A.

• 15 and 20
• 5 and 15
• 15 and 10
• 5 and 10