Solution Types Algebraically

When solving a system algebraically, which expression indicates there is 1 solution?

• 2=2

• -2=6

• x=7

• 0=0

What is the solution to the system of equations show:

How many solutions does this system of equations have?

Solve the system above.

• (1,5)

• (5,-2)

• (-2,5)

• (5,1)

Determine the type of solution you will have if you get

4=4

• one solution

• infinitely many solutions

• no solution

• I don't know. I need to study.

An equation has ____________ when you simplify and the variable terms on each side are the same, AND the constants are the same.

• one solution

• two solutions

• no solution

• infinite solutions

So how do you know when it is "infinitely many" solutions?

• The constants are the same on both sides of the equal sign.

• The constants are the different on both sides of the equal sign.

• The variables are the same w/ different constants.

• The variables are the same w/ same constants.

If you solve an equation by hand and end up with an answer such as 1=2, what is the solution?

• infinite solutions

• no solutions

• x = 1

• x = 2

Match the following

• Variables cancel

  ~

  left with

  -5 = -5

• One Solution

• Variables cancel

  ~

  left with

  4 = 9

• No Solution

• x = -2

• Infinite Solutions

Match the vocabulary to the types of the solutions.

• -9 = -9

• One Solution

• x=3

• Infinite solutions

• 5=10

• No Solution