Sure, let’s solve the given equation step-by-step:
### Given Equation
[tex]\[
\frac{4+1}{x+3} = \frac{1}{9}
\][/tex]
### Step-by-Step Solution
1. Simplify the Numerator:
[tex]\[
4 + 1 = 5
\][/tex]
This simplifies the equation to:
[tex]\[
\frac{5}{x+3} = \frac{1}{9}
\][/tex]
2. Cross-Multiply to Clear the Fraction:
Multiply both sides of the equation by [tex]\((x + 3) \times 9\)[/tex] to eliminate the denominators.
[tex]\[
5 \times 9 = 1 \times (x + 3)
\][/tex]
Simplify:
[tex]\[
45 = x + 3
\][/tex]
3. Solve for [tex]\( x \)[/tex]:
To isolate [tex]\( x \)[/tex], subtract 3 from both sides.
[tex]\[
45 - 3 = x
\][/tex]
Simplify:
[tex]\[
x = 42
\][/tex]
So, the solution to the equation is:
[tex]\[
x = 42
\][/tex]
Therefore, the product can be found by solving the equation step by step as shown above, and the value of [tex]\( x \)[/tex] is [tex]\( 42 \)[/tex].
