Question

What is the undefined value for 22=4+5x9x−622=4+5x9x−6?

Write your answer in reduced fraction form, if applicable.

(1 point)

The undefined value is .

Answer 1

To solve the equation \( 22 = 4 + 5 \times 9 \times x - 6 \), we will first simplify the right side:

1. Combine \( 4 \) and \( -6 \):
\[
4 - 6 = -2
\]
Thus, the equation becomes:
\[
22 = -2 + 5 \times 9 \times x
\]

2. Add \( 2 \) to both sides:
\[
22 + 2 = 5 \times 9 \times x
\]
So:
\[
24 = 5 \times 9 \times x
\]

3. Calculate \( 5 \times 9 \):
\[
5 \times 9 = 45
\]
Now the equation simplifies to:
\[
24 = 45x
\]

4. To solve for \( x \), divide both sides by \( 45 \):
\[
x = \frac{24}{45}
\]

5. Now, let's reduce \( \frac{24}{45} \):
The greatest common divisor (GCD) of \( 24 \) and \( 45 \) is \( 3 \):
\[
\frac{24 \div 3}{45 \div 3} = \frac{8}{15}
\]

Thus, the solution to the equation in reduced fraction form is:
\[
x = \frac{8}{15}
\]

The "undefined value" might refer to the range of undefined values for which \( x \) cannot take on specific values (for instance, in context of a domain restriction), but based on the processing of this algebraic equation, we have computed the value of \( x \).

Final answer:
\[
\text{The undefined value is } \frac{8}{15}.
\]