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Chapter 6: Problem 64

Solve each proportion and check. \(\frac{-3}{8}=\frac{6}{x}\)

Short Answer

Expert verified
The solution to the proportion is \(x = -16\).

Step by step solution

01

Cross-multiplication

Firstly, perform the cross-multiplication. This involves multiplying the first fraction's numerator by the second fraction's denominator, and the first fraction's denominator by the second fraction's numerator. So the equation becomes: \(-3 * x = 8 * 6\).
02

Solve for x

Now, simplify the right hand side of the equation by multiplying \(8 * 6\) to get \(48\). So the equation becomes: \(-3x = 48\). Divide both sides by -3, to find the value of \(x\). This gives \(x = -16\).
03

Check if the value of x is correct

To verify if the calculate value of \(x\) is correct, substitute \(x = -16\) into the original equation. This gives the equation: \(\frac{-3}{8} = \frac{6}{-16}\). Simplify both sides to see if they are equal. When you simplify the right hand side, it becomes \(-\frac{3}{8}\), which verifies the value of \(x\) found in step 2, as both sides are equal to each other.

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