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AysviL [449]
3 years ago
8

5x + 10 = −4x − 17 what is x

Mathematics
2 answers:
meriva3 years ago
5 0
5x + 10 = -4x - 17 
 +4x          +4x

5x + 4x = 9x

9x + 10 = -17
      -10     -10

-27

9x = -27        9x/9 = -27/9

x = -3
katovenus [111]3 years ago
4 0


this is how you solve for x;

5x + 10 = -4x -17

5x + 4x + 10 = -4x +4x -17 (add 4x on both sides)

9x + 10 = -17

9x +10-10 = -17 -10 (subtract 10 on both sides)

9x = - 27 (next do the inverse operation of x)

x = -27 ÷ 9

x = -3

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Determine whether set of values represents an inverse variation. If yes, identify the constant of variation and write an inverse
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If the table represents an inverse variation, it means that y is inversely proportional to x, written as

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\begin{gathered} y=k\times\frac{1}{x} \\ y=\frac{k}{x} \end{gathered}

In the first column, we have x = -4 and y = 3.5. Substituting these values for x and y, we have

\begin{gathered} y=\frac{k}{x} \\ 3.5=\frac{k}{-4} \\ k=3.5\times-4 \\ k=-14 \end{gathered}

So, if it's an inverse variation, the relationship would be

y=\frac{-14}{x}

In the second column, x = -2 and y = 7.

Now lets substitute the value of x for -2. If we get y to be 7, then the relationship is an inverse variation

We have

\begin{gathered} y=\frac{-14}{x} \\ y=\frac{-14}{-2} \\ y=7 \end{gathered}

Since we got y = 7, the relationship is therefore an inverse variation.

The constant k = -14

The equation for the inverse variation is

y=\frac{-14}{x}

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