One Solution No Solution Infinitely Many Solutions Systems of Equations

What is the solution to this equation?

• one solution
• no solution
• infinite solutions
• none of these

What is the solution to the equations?

• one solution
• no solution
• infinite solutions
• none of these

What is the definition of one solution?

• no matter what constant is substituted in for the variable, the equation is ALWAYS true

• no matter what constant is substituted in for the variable, the equation will NEVER be true

• only this ONE solution will make the equation true

What is the definition of no solution?

• no matter what value is substituted in for the variable, the equation is ALWAYS true

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

• only this ONE solution will make the equation true

What is the definition of infinite solutions?

• no matter what constant is substituted in for the variable, the equation is ALWAYS true

• no matter what constant is substituted in for the variable, the equation will NEVER be true

• only this ONE solution will make the equation true

Solve the equation:

12x - 15 = 3(2x+3)

• x = 4

• x = -4

• x = 2

• x = -2

x=6

• one solution

• no solution

• infinitely many solutions

• six solutions

x=0

• one solution

• no solution

• infinitely many solutions

0=4

• one solution

• no solution

• infinitely many solutions

• two solutions

infinitely many solutions

• 5=-5

• 3=9

• -7=0

• 2=2