Solving Systems of Linear Equations

Use the graph to solve the system of linear equations.

 $3x-2y=10$  

 $x+y=0$  

• (2,2)

• (2-2)

• (-2,2)

• (-2,-2)

Solve the system of equations by graphing:

 $y=\frac{1}{4}x+3$ 

 $y=\frac{3}{4}x+5$  

• 
• 
• 
• 

Solve the system of equations by substitution: $x-6y=-11$  
 $3x+2y=7$  

• (-23,2)

• (2,1)

• (1,2)

• (-18.8,-1.3)

Solve the system of equations by substitution:

 $x-2y=-3$  

 $y=x+1$  

• (1,2)

• (5,6)

• (-1,0)

Solve the system of equations by elimination:

 $5x+2y=-28$  

 $-5x+3y=8$  

• (4,-4)

• (-4,4)

• (4,4)

• (-4,-4)

Solve the system of equations by elimination:

 $8x-3y=-9$ 

  $5x+4y=12$  

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

What does the graph look like when there is one solution?

• The lines are parallel

• The lines intersect

• The lines are the same

What does the graph look like when there are infinitely many solutions

• The lines are the same

• The lines intersect

• The lines are parallel

What does the graph look like when there is no solution

• The lines are the same

• The lines intersect

• The lines are parallel

State how many solutions there are to the system of equations:

 $2x-3y=10$ 

  $-2x+3y=-10$  

• One solution

• No solution

• Infinitely many solutions