Systems of Equations

What is the solution to this equation?

• 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 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 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:
2x + 1 = 2x - 1

• No Solution
• x = 0
• Infinitely Many Solutions

3r - 5 = 2r

• No solution
• Infinitely many solutions
• r = 5

This system has _____ solutions

• 0
• 1
• 2
• Infinitely many

A linear system has infinitely many solutions when the graphs of the equations are _____________.

• not identical
• parallel
• identical
• one point

A linear system has no solution when the graphs of the equations are parallel.

• TRUE
• FALSE

A solution of a system of equations will make _____ equations true, when x and y are plugged in 

• The first
• The second
• Both
• Neither