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Chapter 6: Problem 12

Solve and check each equation. \(-6 x=3\)

Short Answer

Expert verified
The solution to the equation is \(x = -0.5\).

Step by step solution

01

Identify and isolate the variable

In the equation -6x = 3, the variable to solve for is 'x'. Currently, the 'x' is being multiplied by -6. In order to isolate 'x', the operation on the left side of the equation will need to be undone.
02

Solve for the variable

We can isolate x by dividing the right side of the equation by -6. This gives us the solution for x as follows: \(x = 3 \div -6\)
03

Simplify the right side

The simplified calculation for x is \(x = -0.5\)
04

Check the solution

It's necessary to check the solution. Substitute -0.5 for x in the original equation: \(-6(-0.5) = 3\). It indeed confirms our solution, as \(-6(-0.5)\) equals to 3.

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Most popular questions from this chapter

Determine whether each statement makes sense or does not make sense, and explain your reasoning. It's easy to factor \(x^{2}+x+1\) because of the relatively small numbers for the constant term and the coefficient of \(x\).

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(2 x^{2}+5 x-3\)

Solve each equation by the method of your choice. \(2 x^{2}-9 x-3=9-9 x\)

Solve the quadratic equations by factoring. \(x^{2}+9 x=-8\)

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