Simultaneous equations require algebraic skills to find the values of letters within two or more equations. They are called simultaneous equations because the equations are solved at the same time.

Substitute y = 4 into the following equation: 4x + 2y = 52. What is the value of x?

x = 11

x = 10

x = 9

Two simultaneous equations are given as 2x + y = 5 and 3x + y = 7. Find the value of x and y.

x = 1, y = 2

x = 2, y = 1

x = 1, y = 1

Two simultaneous equations are given as: 6x - 2y = 15 and 4x + 3y = -3. Which of the following can NOT be used to solve the equations?

12x - 4y = 30 and 12x + 9y = -9

12x - 6y = 36 and 4x + 6y = 3

18x - 6y = 45 and 8x + 6y = -6

Two sandwiches and a juice cost £3.40. Four sandwiches and three juices cost £7.20. Which simultaneous equations show this information?

2s + 4s = 3.40 and j + 3j = 7.20

2s + j = 7.2 and 4s + 3j = 3.4

4s + 3j = 7.2 and 2s + j = 3.4

Two sandwiches and a juice cost £3.40. Four sandwiches and three juices cost £7.20. What is the cost of a juice?

£0.50

£0.40

£0.30

Two sandwiches and a juice cost £3.40. Four sandwiches and three juices cost £7.20. Find the cost of a sandwich.

£1

£1.25

£1.50

Two simultaneous equations are given as y = x + 4 and y = x^{2} + 4x. Which of these are NOT a solution point for the equations?

x = -1 and y = 3

x = -4, y = 0

x = 1, y = 5

Look at the diagram below. What is the solution point for the graph?

x = 2, y = 4

x = 3, y = 5

How can you rearrange 4x + 2y = 6 into the form y = mx + c?

y = -2x + 3

y = 2x + 3

y = 4x + 6

Two graphs are given as y = 0.5x and y = 2x - 6. Either by plotting the graphs or otherwise, find the values of x and y. The first graph is plotted for you on the diagram below.

x = -4, y = 2

x = 4, y = 2

x = 4, y = -2