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Chapter 6: Problem 90

Solve each equation. Use set notation to express solution sets for equations with no solution or equations that are true for all real numbers. \(\frac{x+4}{8}=\frac{3}{16}\)

Short Answer

Expert verified
The solution to the equation is \(x = -\frac{5}{2}\)

Step by step solution

01

Rewrite the equation

Rewrite the given equation as \(8 * (\frac{x+4}{8}) = 16 * (\frac{3}{16})\). This will simplify to \(x+4 = \frac{3}{2}\).
02

Solve for x

To solve for x, subtract 4 from both sides of the equation. This yields \(x = \frac{3}{2} - 4\).
03

Get an answer

Simplifying further, you will get the solution as \(x = -\frac{5}{2}\).

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Most popular questions from this chapter

Explain how to solve a quadratic equation using the quadratic formula. Use the equation \(x^{2}+6 x+8=0\) in your explanation.

Solve the quadratic equations by factoring. \(2 x^{2}=7 x+4\)

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(x^{2}-2 x-15\)

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(4 x^{2}+16 x+15\)

Solve the equations using the quadratic formula. \(x^{2}-2 x-10=0\)
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