Question

Explain how to create an equation with infinitely many solutions.

Answer 1

To create an equation with infinitely many solutions, you can multiply both sides of the equation by the same non-zero constant to simplify or cancel out the unknowns.

Step-by-step explanation:

To create an equation with infinitely many solutions, you need to have an equation where the unknowns cancel out or simplify to the same expression on both sides. This can be achieved by multiplying both sides of the equation by the same non-zero constant. Let's take the equation 2x - 3 = 3x - 4 as an example.

Start with the equation 2x - 3 = 3x - 4

Subtract 2x from both sides: -3 = x - 4

Add 4 to both sides: 1 = x

Now, no matter what value of x you substitute back into the equation, both sides will always simplify to 1. This means that the equation has infinitely many solutions.

Answer 2

real answer Sample Response: "You can start with any statement in the form a = a. Then add the same variable term to both sides, and add the same constant term to both sides. Combine like terms on each side."

Step-by-step explanation: