Unit 5 Review - Systems

A system of equations that looks like this has ....

• infinite solutions
• no solution
• one solution 

How many solutions?

• One Solution
• No solution
• Infinitely Many Solutions

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (0, 1)

Which of the following shows the first step in solving the system of linear equations by substitution?
 $2x+3y=19$  

 $x=y+11$  

•  $2\left(y+11\right)+3y=19$  
  

•  $2x+3\left(y+11\right)=19$  
  

•  $2\left(y+11\right)+3\left(y+11\right)19$  
  

•  $x=\left(2x+3y-19\right)+11$  
  

•  $2x+3y=y+11$  

Solve the system below using substitution.
 $2x+y=5$  

 $y=x-4$  

• (3, -1)

• (1, -3)

• (1,1)

• (3, 0)

What could be the first step in solving this system using elimination?
 $4x+6y=8$  

 $2x+5y=12$  

• Add the two equations.

• Add 4 to both side sof the equations.

• Multiply the second equation by -1.

• Multiply the second equation by -2.

• Multiply the second equation by -3

Solve the system of equations:

4x+8y=20

-4x+2y=-30

• (-7,1)

• (2,-5)

• (-2,5)

• (7,-1)

Solve the system.

x + 4y = 6

x + y = 3

• (4, 6)

• (-2, -5)

• (2, 1)

• (1, 2)

Solve the following system:
 $3x-4y=13$  

 $y=-3x-7$  

• (3, 7)

• (3, 4)

• (-4, -1)

• (-1, -4)