Simultaneous Equations

Simultaneous Equations

Open Ended

Write the following as an equation

Five adult tickets and three child tickets for a movie cost £58.

Open Ended

Write the following as an equation

Two adult tickets and eight child tickets for a movie cost £47.

Multiple Choice

Solve:

2x + 5y = 29

x + 5y = 22

• x = 7

  y = 3

• x = -7

  y = -3

• x = 7

  y = -3

• x = -7

  y = 3

Multiple Choice

Solve the Simultaneous Equations: 2a+b=11; a+b=8

• a=-3, b=5
• a=3, b=-5
• a=3, b=5
• a=-3, b=-5

Multiple Choice

Solve:
 $2x+3y=5$ 
 $x+3y=7$  

• x = -2

  y = 3

• x = -2

  y = -3

• x = 2

  y = 3

• x = 2

  y = -3

Multiple Choice

Using the simultaneous equations 3x+7y=57 and 3x+10y=75, find the solution, giving your answer as a coordinate pair

• (6, 6)
• (5, 6)
• (5, 7)
• (6, 5)

Multiple Choice

Solve:
 $3x+2y=15$  
 $7x+2y=19$  

• x = 1

  y = 6

• x = -1

  y = 6

• x = 1

  y = -6

• x = -1

  y = -6

Multiple Choice

Solve:

3x - y = 11

x + y = 5

• x = 4

  y = 1

• x = 4

  y = -1

• x = -4

  y = 1

• x = -4

  y = -1

Multiple Choice

Solve:

3x + 5y = 4

4x - 5y = -18

• x = -2

  y = 2

• x = -2

  y = -2

• x = 2

  y = -2

• x = 2

  y = 2

Open Ended

PLENARY

The cost of buying a coffee and a tea in a cafe is £4.

The cost of buying a coffee and three teas in a cafe is £7.

Work out the cost of buying a coffee and the cost of buying a tea.