Systems of Equations by Substitution Review Lesson

Systems of Equations Review

Solving systems through graphing, substitution, and elimination (add/subtract)

Solving Systems Graphically

 $y=\frac{1}{3}x\ -\ 3$  

 $y=-x+1$  

Solving Systems Graphically

 $y=-5$  

 $x=2$  

Multiple Choice

What type of solution to at system of equations is shown in the graph?

• one solution
• no solution
• infinitely many solutions

Multiple Choice

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

Multiple Choice

The system shown is

• y = -2x + 1

  y = x - 1

• y = 2x + 1

  y = -x - 1

• y = 2x - 1

  y = -x + 1

• y = -2x - 1

  y = x + 1

Solving Systems using Substitution

 $y=6x-11$  
 $-2x-3y=-7$  




  $-5x+y=-2$  
 $-3x+6y=-12$  

Multiple Choice

Solve the following systems of equations using substitution:

y = 3 - x

3y + x = 5

• No solution

• (1, 2)

• (3, 0)

• (2, 1)

Multiple Choice

Solve the system of equations.

• (10, 3)

• (6, 3)

• (15, 3)

• No solution

• Infinite Solution

Multiple Choice

Solve:
y=8x+1
y=6x+3

• (1, 9)
• (4, 14)
• (0, 1)
• (2, 4)

Solving systems using elimination

 $2x+y=19$  

 $x-y=11$   

 $-6x+6y=6$  

 $-6x+3y=-12$  

Multiple Choice

Solve for x and solve for y

3x - 3y = 33

6x - 3y = 57

• (8,-3)

• (-3,8)

• (10,1)

• (10,-1)

Multiple Choice

Solve for x and solve for y
3x  - 3y = 33
6x - 3y = 57

• (8,-3)
• (-3,8)
• (10,1)
• (10,-1)