Question

Describe how you know if an equation has INFINITE solutions. Give some examples of an equation that has infinite solutions,

Answer 1

An equation has infinite solutions when all possible values of the unknown make the equation true. Two examples of equations with infinite solutions are x + 5 = x + 5 and 2x = x + x.

Step-by-step explanation:

An equation has infinite solutions when all possible values of the unknown make the equation true. This means that any value substituted for the unknown will result in a true statement. One example of an equation with infinite solutions is:

x + 5 = x + 5

When we simplify this equation, we get 0 = 0, which is true for any value of x. Therefore, this equation has infinite solutions.

Another example is:

2x = x + x

When we simplify this equation, we get 2x = 2x, which is true for any value of x. So, this equation also has infinite solutions.

Answer 2

When a problem has infinite solutions, you'll end up with a statement that's true no matter what. For example: 3=3 This is true because we know 3 equals 3, and there's no variable in sight. Therefore we can conclude that the problem has infinite solutions. You can solve this as you would any other question.

Step-by-step explanation:

Hope this helped.