### All SAT Math Resources

## Example Questions

### Example Question #1 : How To Find Out When An Equation Has No Solution

Find the solution to the following equation if x = 3:

y = (4x^{2} - 2)/(9 - x^{2})

**Possible Answers:**

no possible solution

3

0

6

**Correct answer:**

no possible solution

Explanation:

Substituting 3 in for x, you will get 0 in the denominator of the fraction. It is not possible to have 0 be the denominator for a fraction so there is no possible solution to this equation.

### Example Question #2 : How To Find Out When An Equation Has No Solution

I. *x* = 0

II. *x* = –1

III. *x* = 1

**Possible Answers:**

III only

I, II, and III

I only

II and III only

II only

**Correct answer:**

I only

Explanation:

### Example Question #3 : How To Find Out When An Equation Has No Solution

**Possible Answers:**

–1/2

1

–3

3

There is no solution

**Correct answer:**

There is no solution

Explanation:

### Example Question #4 : How To Find Out When An Equation Has No Solution

**Possible Answers:**

None of the other answers

**Correct answer:**

Explanation:

A fraction is considered undefined when the denominator equals 0. Set the denominator equal to zero and solve for the variable.