Determining the Number of Solutions of an Equation

Determine the type of solution you will have if you get
x=0.25

• one solution

• infinite solution=identity

• no solution

• I don't know.  I need to study.

5 - 2(x - 1) = 2(3 - x) + 7

• No Solution

• One Solution

• Infinitely Many Solutions

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

• No Solution

• One Solution

• Infinitely Many Solutions

• The equation has no solutions

• The equation has exactly one solution

• The equation has exactly two solutions

• The equation has infinitely many solutions

The equation 3x + 17 = 3 (x+5) + A will have infinite solutions if A=

A system of equations is solved algebraically, resulting in 3=3. How many solutions does the system have?

• Infinitely many solutions

• No solutions

• one solution

• 3 solutions

• exactly one solution

• exactly two solutions

• No solutions

• Infinite solutions

• one solution

• no solution

• infinite solutions

• one solution

• no solution

• infinite solutions

• one solution

• no solution

• infinite solutions