Question

Provide an example of an equation with an infinite number of solutions. Then, make one change to the equation so that it has no solution.

Example of an equation with infinitely many solutions: 9x + 9 = 9x +

Now, make one change to the equation so that it has no solutions: 9x + 9 = ?

Answer 1

An equation like 9x + 3 = 9x + 3 has an infinite number of solutions because it's true for any x. Changing it to 9x + 3 = 9x + 5 creates an equation with no solutions.

Step-by-step explanation:

Providing an example of an equation with an infinite number of solutions, you can consider the equation 9x + 3 = 9x + 3. This equation is true for any value of x, hence it has an infinite number of solutions.

Now, to alter the equation to have no solutions, you would change it to 9x + 3 = 9x + 5. No matter what value we substitute for x, the two sides of this equation will never be equal, thus it has no solutions.