Number of Solutions to an Equation

An equation that has an infinite number of solution means that...

• Only one number can be substituted for x to make the equation true

• There are no numbers that can be substituted for x to make the equation true

• ANY real number can be substituted into the equation to make the equation true

Solve 5x+5=3(5x-4)-10x

• one solution

• no solution

• infinite number of solutions

7x+5(x-1)= -5+12x

• one solution

• no solution

• infinite number of solutions

6(y-5) = 2(10+3y)

• one solution

• no solution

• infinite number of solutions

2+5k = 3k-6

• one solution

• no solution

• infinite number of solutions

3x+12= 2x+15

• one solution

• no solution

• an infinite number of solution

5x+2x+9= 7x+9

• one solution

• no solution

• infinite number of solutions

4(2x+3) +4= 8(x+2)

• one solution

• no solution

• infinite number of solutions

3x-2x+8= x-8

• one solution

• no solution

• infinite number of solutions

How many solutions does an equation have when solving the equation results in the statement 5=9

• One Solution

• No Solution

• Infinite Number of Solutions