Question
Solve using cross products
4/3 = 8/x
4/3 = 8/x
Answers
GPT-4o mini
To solve the equation \( \frac{4}{3} = \frac{8}{x} \) using cross products, we can cross-multiply. This means we multiply the numerator of one fraction by the denominator of the other fraction.
Starting with the equation:
\[
\frac{4}{3} = \frac{8}{x}
\]
Cross-multiplying gives us:
\[
4 \cdot x = 8 \cdot 3
\]
Now, simplifying the right side:
\[
4x = 24
\]
Next, we solve for \( x \) by dividing both sides by 4:
\[
x = \frac{24}{4}
\]
\[
x = 6
\]
Thus, the solution is:
\[
x = 6
\]
Starting with the equation:
\[
\frac{4}{3} = \frac{8}{x}
\]
Cross-multiplying gives us:
\[
4 \cdot x = 8 \cdot 3
\]
Now, simplifying the right side:
\[
4x = 24
\]
Next, we solve for \( x \) by dividing both sides by 4:
\[
x = \frac{24}{4}
\]
\[
x = 6
\]
Thus, the solution is:
\[
x = 6
\]