Understanding Solutions in Equations

The video tutorial explains how to determine if an equation has one solution, no solution, or infinite solutions. It begins by identifying like terms on the same side of the equation and combining them. The tutorial then demonstrates moving variables to one side to solve the equation. In this example, the equation simplifies to a false statement, indicating no solution. The tutorial concludes by explaining why the equation has no solution.

What are the three types of solutions that an equation can have?

• One solution, no solution, or two solutions

• No solution, two solutions, or infinite solutions

• One solution, two solutions, or infinite solutions

• One solution, no solution, or infinite solutions

What is the result of combining the like terms 2x and -9x?

• -11x

• 11x

• -7x

• 7x

What should you do after combining like terms in an equation?

• Move the constants to one side

• Move the variables to one side

• Simplify the constants

• Add the constants

What happens when you add 7x to both sides of the equation -7x + 3 = 2?

• The equation becomes 3 = 2

• The equation becomes 0 = 2

• The equation becomes 7x = 2

• The equation becomes 3 = 7x + 2

What type of solution does the equation -7x + 3 = 2 have?

• One solution

• No solution

• Infinite solutions

• Two solutions