One, No, Infinitely Many Solutions

How Many Solutions Does

This Equation Have?

3x − 7 = 3(x − 3) + 2

• One Solution

• No Solution

• Infinitely Many Solutions

How Many Solutions Does

This Equation Have?

2x + 1 = 2x − 1

• One Solution

• No Solution

• Infinitely Many Solutions

How Many Solutions Does

This Equation Have?

3(x + 1) − 5 = 3x − 2

• One Solution

• No Solution

• Infinitely Many Solutions

How Many Solutions Does

This Equation Have?

3r − 5 = 2r

• One Solution

• No Solution

• Infinitely Many Solutions

How Many Solutions Does

This Equation Have?

14 − 2(3p + 1) = 6(4 + p)

• One Solution

• No Solution

• Infinitely Many Solutions

How Many Solutions Does
This Equation Have?

x + 8 + x + 1 − 16 + x = 4x − 8 − x − 1

• One Solution

• No Solution

• Infinitely Many Solutions

What is the Definition of NO SOLUTION?

• No matter what value is substituted in for the variable, the equation will ALWAYS be true.

• No matter what value is substituted in for the variable, the equation will NEVER be true.

• There is only a single value that can be substituted in for the variable to make the equation true.

What is the Definition of INFINITELY MANY SOLUTIONS?

• No matter what value is substituted in for the variable, the equation will ALWAYS be true.

• No matter what value is substituted in for the variable, the equation will NEVER be true.

• There is only a single value that can be substituted in for the variable to make the equation true.

What is the Definition of ONE SOLUTION?

• No matter what value is substituted in for the variable, the equation will ALWAYS be true.

• No matter what value is substituted in for the variable, the equation will NEVER be true.

• There is only a single value that can be substituted in for the variable to make the equation true.

y= -5x + 4

5x + y= -3

• No Solution

• One Solution

• Infinitely Many Solutions