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Chapter 6: Problem 65

Solve each proportion and check. \(\frac{x}{12}=-\frac{3}{4}\)

Short Answer

Expert verified
The value of 'x' which satisfies the given proportion is -9.

Step by step solution

01

Cross Multiplication

Multiply x by 4 and 12 by 3, and place it on the right side of the equation. This gives: 4x=-36
02

Solving for 'x'

To isolate 'x', divide both sides of the equation by 4: \(x=-\frac{36}{4}\), which simplifies to: \(x=-9\)
03

Checking the solution

Substitute the value of 'x' back into the original equation to verify the solution. It yields: \(\frac{-9}{12}=-\frac{3}{4}\), which simplifies to: -\(\frac{3}{4}=-\frac{3}{4}\), as both sides are equal, this shows that the solution is correct.

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Most popular questions from this chapter

Solve the quadratic equations in Exercises \(37-52\) by factoring. \(x^{2}+8 x+15=0\)

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

In Exercises 98-99, find all positive integers b so that the trinomial can be factored. \(x^{2}+b x+15\)

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(x^{2}-9 x-36\)

Solve the equations using the quadratic formula. \(x^{2}+5 x+3=0\)
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