Solving an equation with variable on both sides infinite solutions

The video tutorial explains how to solve equations with variables on both sides, focusing on simplifying both sides using the distributive property. It demonstrates that such equations can have infinite solutions, as shown through examples and verification methods. The tutorial concludes with key takeaways on identifying infinite solutions in equations.

What is the first step when solving an equation with variables on both sides?

• Combine like terms on both sides

• Use the distributive property to simplify

• Add a constant to both sides

• Multiply both sides by a common factor

Why does the equation 2A + 3 = 3 + 2A have infinite solutions?

• Because the equation is a contradiction

• Because the commutative property of addition applies

• Because the variables cancel each other out

• Because the equation is not balanced

What happens when you subtract 2A from both sides of the equation 2A + 3 = 3 + 2A?

• You get A = A

• You get 2A = 2A

• You get 3 = 3

• You get 0 = 0

If you isolate the variable on both sides and get A = A, what does this indicate?

• The equation has one solution

• The equation is invalid

• The equation has no solution

• The equation has infinite solutions

What should you do if you find a number equal to itself after simplifying both sides of an equation?

• Conclude there is no solution

• Conclude there is one solution

• Recheck your calculations

• Conclude there are infinite solutions