Question

Saskia is solving an equation in one variable and gets the equivalent equation 3=3. Assuming her work is correct, what can she conclude about the original equation?

Answer 1

Answer:

The second option is correct. There are infinitely many solutions.

Step-by-step explanation:

Let's use the equation x + 3 = x + 3

We can simplify this two ways: x = x, or 3 = 3

We can use any value of x so that both sides are equivalent to each other.

For example:

• x + 3 = x + 3
• 2 + 3 = 2 + 3
• 5 = 5

or

• x + 3 = x + 3
• -3 + 3 = -3 + 3
• 0 = 0

As you can see, both sides of the equations are always the same with any value of x.

-Chetan K