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trasher [3.6K]
3 years ago
13

5x+12-8x=-24 steps by step please

Mathematics
2 answers:
kolezko [41]3 years ago
7 0

Step-by-step explanation:

<h2><em><u>=</u></em><em><u>></u></em><em><u>first </u></em><em><u>co</u></em><em><u>m</u></em><em><u>bine </u></em><em><u>the </u></em><em><u>like </u></em><em><u>terms</u></em></h2>

<em><u>5</u></em><em><u>x</u></em><em><u>-</u></em><em><u>8</u></em><em><u>x</u></em><em><u>+</u></em><em><u>1</u></em><em><u>2</u></em><em><u>=</u></em><em><u>2</u></em><em><u>4</u></em>

<em><u>-</u></em><em><u>3</u></em><em><u>x</u></em><em><u>+</u></em><em><u>1</u></em><em><u>2</u></em><em><u>=</u></em><em><u>2</u></em><em><u>4</u></em>

<h2><em><u>=</u></em><em><u>></u></em><em><u>substruct</u></em><em><u> </u></em><em><u>1</u></em><em><u>2</u></em><em><u> </u></em><em><u>from </u></em><em><u>1</u></em><em><u>2</u></em><em><u> </u></em><em><u>and </u></em><em><u>2</u></em><em><u>4</u></em></h2>

<em><u>-3x</u></em><em><u>+</u></em><em><u>1</u></em><em><u>2</u></em><em><u>-</u></em><em><u>1</u></em><em><u>2</u></em><em><u>=</u></em><em><u>2</u></em><em><u>4</u></em><em><u>-</u></em><em><u>1</u></em><em><u>2</u></em>

<em><u>-3x=</u></em><em><u>1</u></em><em><u>2</u></em>

<h2><em><u>=</u></em><em><u>></u></em><em><u>divide </u></em><em><u>-</u></em><em><u>3</u></em><em><u> </u></em><em><u>from </u></em><em><u>both </u></em><em><u>side</u></em></h2>

<em><u>-3x/</u></em><em><u>3</u></em><em><u>=</u></em><em><u>1</u></em><em><u>2</u></em><em><u>/</u></em><em><u>-</u></em><em><u>3</u></em>

<h2><em><u>=</u></em><em><u>-</u></em><em><u>4</u></em></h2>

Veseljchak [2.6K]3 years ago
6 0

Answer is x = 12 :)

Operations you're supposed to do in order to solve this equation are:

1. Combine like terms

2. Subtract 12 from both sides

3. Simplify

4. Divide both sides of the equation by the same term

5. Simplify.

(Demonstration is on the file I uploaded) <3

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Flying against the wind, a jet travels 8730mi in 9 hours. Flying with the wind, the same jet travels 7260mi in 6 hours. What is
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\bf \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \textit{against the wind}&8730&j-w&9\\ \textit{with the wind}&7260&j+w&6 \end{array}~\hfill \begin{cases} 8730=(j-w)(9)\\ 7260=(j+w)(6) \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{using the 1st equation}}{\cfrac{8730}{9}=j-w\implies }970=j-w\implies 970+w=j \\\\[-0.35em] ~\dotfill

\bf \stackrel{\textit{using the 2nd equation}}{\cfrac{7260}{6}=j+w}\implies 1210=j+w\implies \stackrel{\textit{doing some substitution on \underline{j}}}{1210=(970+w)+w} \\\\\\ 1210=970+2w\implies 240=2w\implies \cfrac{240}{2}=w\implies \boxed{120=w} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{we know that}}{970+w=j}\implies 970+120=j\implies \boxed{1090=j}

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