System of Equations Test

A system has ____________ when two lines intersect at one point. 

• One solution
• No solution
• Infinitely Many Solution

A system has ____________ when two equations are exactly the same and overlap each other.

• One solution
• No solution
• Infinitely Many Solution

A system has ____________ when two equations have same slope but different y-intercept and are parallel. 

• One solution
• No solution
• Infinitely Many Solution

There are 15 animals in a barn.  These animals are horses and chickens.  There are 44 legs in all.  Which system of equations represents the situation?

• x + y = 15
  4x + 2y = 44
• 4x + 2y = 15
  x + y = 44
• x = 2y + 44
  4x = y + 15
• 2x - 4y = 44
  x - y = 15

Solve by graphing.

y = x + 5

y = 3x + 1

Be sure to label your lines!

Solve by graphing.

y=8x+1

y=6x+3

Solve by using substitution method.

y = 3x - 1

y - 2x = 1

Solve by using elimination method.

y + 3x = 10

-y + 2x = 5

What is the solution to this system of equations? Solve by substitution or graphing.

y = -4x + 20

y = 2x - 22

Solve  the system of equations.  
   x + 5y = -27
-2x - 5y = 24