Solving_Systems_of_Equations

This system has _____ solutions

• no
• 1
• 2
• Infinitely many

What is the solution to this system? 

• (3,1)
• No solution
• Infinite solutions
• (1,3)

Solve the following system by graphing.  What is the solution?

• (-4, 2)
• (4, 2)
• (2, -4)
• (2, 4)

Solve by elimination 
2x+9y= -7 
6x-3y= 9 

• (-1, -1) 
• (2,-1)
• (1,1)
• (1,-1)

Jack and Rylie are selling cookies and brownies for a school fundraiser. Jack sold 17 cookies and 5 brownies for a total of $54. Rylie sold 20 cookies and 5 brownies for a total of $60. Find the cost of one cookie and one brownie.

• The cost of one cookie is $5 and the cost of one brownie is $1

• The cost of one cookie is $2 and the cost of one brownie is $4

• The cost of one cookie is $3 and the cost of one brownie is $3

• The cost of one cookie is $1 and the cost of one brownie is $2

Solve by elimination

4x-6y= -6

-2x-12y= -12

• (0,1)

• (1,0)

• (1,1)

• (0, 2)

Sal is running a concession stand at a soccer game where he sells hot dogs and sodas. On day 1, Sal sold 20 hot dogs and 12 sodas for a total of $84. On day 2, he sold 15 hot dogs and 24 sodas for a total of $93. Find the cost of each hot dog and the cost of each soda.

• Each hot dog costs $3 and each soda costs $2

• Each hot dog costs $2 and each soda costs $3

• Each hot dog costs $2 and each soda costs $3.67

• Each hot dog costs $4 and each soda costs $0.33

Solve the system of equations using the Elimination method:

4x - 6y = 16

3x + 4y = -5

• (5.5,1)

• (-5,2.5)

• (1,-2)

• (4,0)

Solve by elimination:
-x+2y=17

2x+2y=-10

• Infinitely Many Solutions

• (-9,4)

• (-4, 9)

• (9,-4)