Simultaneous equations

Solve:

3x - y = 11

x + y = 5

• x = 4

  y = 1

• x = 4

  y = -1

• x = -4

  y = 1

• x = -4

  y = -1

Solve:

3x + 5y = 4

4x - 5y = -18

• x = -2

  y = 2

• x = -2

  y = -2

• x = 2

  y = -2

• x = 2

  y = 2

What is the solution?

• No solution
• (0, 2)
• (0, -4)
• (3, -3)

What is the solution to the system?
8x + 4y = 12
y = -2x + 3

• (0,3)
• (3,0)
• No solution(parallel lines)
• Infinitely many solutions

Some horses and chickens are in a pasture. If there are a total of 28 animals and 80 legs, how many chickens and how many horses are there? (Hint: Write simultaneous equations and then solve)

• 10 horses, 18 chickens

• 16 horses, 12 chickens

• 12 horses, 16 chickens

• 18 horses, 10 chickens

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of colour brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of colour brochures. Which simultaneous equations represent this situation?

• x+y=134

  x+y=120

• 3x+3y=134

  4x+3y=120

• 4x+3y=134

  3x+3y=120

• 7xy=134

  6xy=120

A theatre can hold 200 people. If the price of admission is $5 for an adult and $2 per child, find the number of each if the theatre is full and the profit is $577.

• 59 adults and 141 children
• 40 adults and 160 children
• 60 adults and 140 children
• 41 adults and 159 children

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

What is the solution to the system of equations?

• (5, 2)

• (2, 5)

• (-5, 2)

• (-2, -5)

Two pencils and a ruler cost 49 cents in total. One pencil and two rulers cost 62 cents in total. Find the cost of each item.

• pencil: 13 cents

  ruler: 23 cents

• pencil: 15 cents

  ruler: 23.50 cents

• pencil: 12 cents

  ruler: 25 cents

• pencil: 18 cents

  ruler: 26 cents