Classify Solutions to an Equation

A system of equation can have which types of solutions?

Select all that apply.

• No solution

• 2 solutions

• 1 solution

• infinitely many solutions

Classify the system based on its graph.

• consistent system, one solution

• consistent system, infinitely many solutions

• inconsistent system

Classify the system based on its graph.

• consistent system, one solution

• consistent system, infinitely many solutions

• inconsistent system

Classify the system based on its graph.

• consistent system, one solution

• consistent system, infinitely many solutions

• inconsistent system

What is the solution to the equations?

• One Solution

• No Solution

• Infinite Solutions

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

• one solution

• two solutions

• no solution

• infinite solutions

How many solutions?

4(2x + 1) = 5x + 3x + 9

• One Solution

• Infinitely Many Solutions

• No Solutions

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.

How many solutions? 3 (10x + 2) = 30x + 6

• One Solution

• No Solution

• Infinite Solutions