/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 2 Solve each linear equation. $$... [FREE SOLUTION] | 91影视

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Chapter 0: Problem 2

Solve each linear equation. $$6 x-3=63$$

Short Answer

Expert verified
The solution to the equation is \(x = 11\).

Step by step solution

01

Isolate the Term Containing the Variable

Add 3 to each side of the equation to move the constant term from the left side of the equation to the right. This results in:\(6x = 63 + 3\), which simplifies to \(6x = 66\).
02

Solve for the Variable

To solve for \(x\), and thereby isolate the variable, divide each side of the equation by 6. This operation results in:\(x = 66 / 6\).
03

Simplify the Expression

Simplify the expression on the right side of the equation to get the numerical value of \(x\), this gives \(x = 11\).

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Most popular questions from this chapter

Perform the indicated operations. $$\frac{1}{x^{n}-1}-\frac{1}{x^{n}+1}-\frac{1}{x^{2 n}-1}$$

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Determine whether each statement makes sense or does not make sense, and explain your reasoning. Although I can solve \(3 x+\frac{1}{5}=\frac{1}{4}\) by first subtracting \(\frac{1}{5}\) from both sides, I find it easier to begin by multiplying both sides by \(20,\) the least common denominator.

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Explain why \(|x|<-4\) has no solution.
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