Elimination Substitution

Solve the system:
x + 6y = 17
x - 3y = 8

• (5, 2)

• (11, 1)

• (1, 11)

• no solution

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, how many of each type of ticket were sold?

• S + A = 530
  3S + 4A = 1740

• S + A = 530
  4S + 3A = 1740

• S + A = 1740
  3S + 4A = 530

• S + A = 1740
  4S + 3A = 530

What would be the first step in finding the solution with elimination?

• cross out the 3y and -3y

• cross out the 4x and x

• change all the signs of the second equation

• add 1 and -11

Solve the system:
2x - 5y = 12
y = -2

• y = -2

• (11, -2)

• (1, -2)

• no solution

For questions 9 & 10: One group of friends purchased 10 hot dogs and 5 soft drinks at a cost of $12.50. A second group bought 7 hot dogs and 4 soft drinks at a cost of $9.00. Let x = cost of a hot dogLet y = cost of a soft drink Write a system of linear equations.

The school that Nick goes to is selling tickets to their annual talent show. On the first day of ticket sales, they sold 12 adult tickets and 15 children tickets and made $132. On the second day of ticket sales, they sold 8 adult tickets and 11 children tickets for $92. Let x = cost of an adult ticket Let y = cost of a child ticket Write a system of linear equations.

At a local grocery store 5 oranges and 7 bananas cost $7.75, whereas 3 oranges and 9 bananas cost $8.25. Let x = cost of an orange Let y = cost of a banana Determine the cost of an orange and a banana.

• $0.75 for an orange and $0.50 for a banana

• $0.50 for an orange and $0.75 for a banana

• $0.25 for an orange and $1.00 for a banana

• $1.00 for an orange and $0.25 for a banana

At a local grocery store 5 oranges and 7 bananas cost $7.75, whereas 3 oranges and 9 bananas cost $8.25. Let x = cost of an orange Let y = cost of a banana Write a system of linear equations.

Solve by substitution

6x+8y=-22

y=-5

• (10.3, -5)

• (-5, 3)

• (-3,-5)

• (3,-5)

Solve by substitution

2x-8y=22

x=-7y

• (17, -129)

• (1, 7)

• (7, -1)

• (7, 1)