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Chapter 6: Problem 68

Solve each proportion and check. \(\frac{x-4}{10}=\frac{3}{5}\)

Short Answer

Expert verified
The solution to the proportion is \(x = 10\).

Step by step solution

01

- Cross Multiplication

Cross-multiply the two fractions. It means multiplying the numerator of the first fraction by the denominator of the second fraction and vice versa. It gives us: \(5*(x-4) = 10*3\)
02

- Simplify the Equations

Simplify both sides of the equation: \(5x - 20 = 30\)
03

- Solve for x

To solve for x, add 20 to both sides of the equation: \(5x = 30 + 20\). Then divide both sides by 5: \(x = 50/5\)
04

- Check the solution

Substitute the obtained value of x into the original proportion to verify the solution: \(5*(10) / 10 = 3 / 5\)

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Most popular questions from this chapter

Solve the equations using the quadratic formula. \(9 x^{2}+6 x+1=0\)

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(3 x^{2}-25 x-28\)

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When the sum of 1 and twice a negative number is subtracted from twice the square of the number, 0 results. Find the number.

Solve the quadratic equations by factoring. \(x^{2}-14 x=-49\)
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