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Chapter 6: Problem 6

Solve and check each equation. \(\frac{x}{5}=3\)

Short Answer

Expert verified
The solution to the equation \(\frac{x}{5}=3\) is \(x=15\).

Step by step solution

01

Understand the equation

The given equation is \(\frac{x}{5}=3\). Our goal is to solve for x.
02

Eliminate the fraction to isolate x

To get rid of the fraction, multiply both sides of the equation by 5. This gives us \(x=5*3\).
03

Solve for x

Now, solve the right side of the equation, which is \(5*3\). This gives us \(x=15\).
04

Check the solution

Substitute x=15 in the original equation to verify the solution. It gives us \(\frac{15}{5} =3\), which is true. So, the solution is correct.

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Most popular questions from this chapter

Solve the equations using the quadratic formula. \(3 x^{2}=5 x-1\)

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

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(6 x^{2}-11 x+4\)

Use FOIL to find the products. \((3 x-7)(4 x-5)\)

Solve the quadratic equations by factoring. \(x^{2}-2 x-15=0\)
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