elexyclymer
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Arianna and Blair are working on a problem together: Solve x/3 + 8 = -2. Blair thinks the first step is to multiply by 3. Arianna explains that this, not the most efficient way to solve. Explain who is correct and justify your reasoning.

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musiclover10045

x/3 + 8 = -2

Because x is in a fraction, the most efficient way to solve is to remove the 8 first.

The first step should be to subtract 8 from both sides:

x/3 = -10

Then you would multiply both sides by 3:

x = -30

hnori22003

Blair was correct but Arianna is correct too.

Let's see why :

_________________________________ We're gonna solve it from Blair's method .

[tex] \frac{x}{3} + 8 = - 2 \\ [/tex]

Multiply sides by 3

[tex]x + 24 = - 6[/tex]

Subtract sides minus 24

[tex]x = - 6 - 24[/tex]

[tex]x = - 30[/tex]

_________________________________

The faster way is :

[tex] \frac{x}{3} + 8 = - 2 \\ [/tex]

Subtract sides minus 8

[tex] \frac{x}{3} = - 2 - 8 \\ [/tex]

[tex] \frac{x}{3} = - 10 \\ [/tex]

Multiply sides by 3

[tex]x = - 30[/tex]

It is very easier to calculate -2-8 than -24-6 and also it is very easier to multiply -10 by 3 than multiply 8 by 3 and multiply -2 by 3 and then calculate.

So Arianna is correct.

I think this is the correct answer.

Thanks for watching buddy good luck.

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