Systems of Equations

The (x, y) ordered pair where two lines on a graph ______________ is called the solution to the system of equations.

• solution

• intersect

• y-intercept

• system

What is the solution to this system of equations?

• (1, 3)

• (3, 1)

• (3, 3)

• (1, 1)

The solution is:

• (4, 3)
• (3, 4)
• (-4, 3)
• No solution

What is the solution to the system?

• (3, -1)
• (2, -6)
• No Solution 
• (6, -2)

How many solutions?

• One Solution
• No solution
• Infinitely Many Solutions

When you graph the exact same equation twice,

• you will have no solution. 
• you will have one solution.
• you will have infinite solutions. 
• you will graph a giraffe. 

What is the solution to this system?

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

Solve the system using substitution.
 $-5x-3y=14$  
 $x=-1$  

• (-1, -3)

• (-1, 3)

• (3, 1)

• (-3, -1)

Solve the system of equations by substitution.

 $x+y=44$  

 $y=10x$  

• (4, 40)

• (-4, 40)

• (40, 4)

• (-40, 4)

Solve the system of equations by substitution.
 $x+y=8$  

 $y=7x$  

• (1, 7)

• (7, 1)

• (-1, -7)

• (-7, -1)