• Our Tutors
Call Now to Set Up Tutoring:
(888) 888-0446

# SAT Math : How to find out when an equation has no solution

## 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 = (4x2 - 2)/(9 - x2)

6

3

no possible solution

0

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.

I.  x = 0

II. x = –1

III. x = 1

II only

III only

I, II, and III

II and III only

I only

I only

Explanation:

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

1

There is no solution

–3

–1/2

3

There is no solution

Explanation:

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

Explanation:

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

### Example Question #5 : How To Find Out When An Equation Has No Solution

Solve:

Explanation:

First, distribute, making sure to watch for negatives.

Combine like terms.

Subtract 7x from both sides.

### Example Question #6 : How To Find Out When An Equation Has No Solution

Solve:

No Solution

Infinitely Many Solutions