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Vedmedyk [2.9K]
3 years ago
8

Solve the equation for x: x/3 - 6 = x/5 - 4

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
8 0
X = -45Under 2 Alternative Form -22 1/2 x = -22.5
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What is the solution to this equation?<br> -1/5(x+1 1/4)=-2 1/2
lubasha [3.4K]

\large\displaystyle\text{$\begin{gathered}\sf -\frac{1}{5}\left(x+1\frac{3}{4}\right)=-2\frac{1}{2}    \end{gathered}$}

Multiply both sides of the equation by 20, the lowest common denominator of 5,4,2.

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4\left(x+\frac{4+3}{4}\right)=-10(2\times2+1)  } \end{gathered}$}

Add 4 and 3 to get 7.

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4\left(x+\frac{7}{4}\right)=-10(2\times2+1)  } \end{gathered}$}

Use the distributive property to multiply −4 times x 4/7.

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-4\times\left(\frac{7}{4}\right)=-10(2\times2+1)  } \end{gathered}$}

Multiply −4 by 4/7.

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-7=10(2\times2+1) \ \ \to \ \ [Multiply \ 2\times2] }  \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-7=10(4+1) \ \ \to \ \ [Add] }  \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-7=10\times5 \ \ \to \ \ [Multiply] }  \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-7=-50 } \end{gathered}$}

Add 7 to both sides.

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x=-50+7 \ \ \to \ \ [Add] } \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x=-43 } \end{gathered}$}

Divide both sides by −4.

\large\displaystyle\text{$\begin{gathered}\sf \bf{x=\frac{-43}{-4} } \end{gathered}$}

The fraction \bf{\frac{-43}{-4}} can be simplified to \bf{\frac{43}{4}} by removing the negative sign from the numerator and denominator.

\large\displaystyle\text{$\begin{gathered}\sf \bf{x=\frac{43}{4} } \end{gathered}$}

simplify

\large\displaystyle\text{$\begin{gathered}\sf \bf{x=10\frac{3}{4} \ \ \to \ \ \ Answer } \end{gathered}$}

<h2>{ Pisces04 }</h2>
8 0
2 years ago
Read 2 more answers
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP
Margaret [11]

Answer:

$13

Step-by-step explanation:

Let's set up a ratio...

2:3.25

8:x

We know 2*4 is 8 so we need to multiply 3.25 by 4 to get x...

3.25*4=$13

5 0
2 years ago
7 2/3 + 2 1/5 hi can anyone help me with this question?
trasher [3.6K]

Answer:

9 13/15

Step-by-step explanation:

4 0
3 years ago
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Lashae drives 380 miles to visit her family. If she arrives after 8 hours of driving, what was her average speed?
Nataly_w [17]
To find the average speed in miles per hour, you would divide the distance, 380 miles, by the time, 8 hours, in order to find the answer. Therefore the average speed should be 47.5 mph.
6 0
3 years ago
Which of the following has no solution?
umka2103 [35]
I think it’s the last one I’m sorry if it’s wrong I’m doing the same thing in math and I just started it today
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3 years ago
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