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Anni [7]
3 years ago
11

I’m having trouble on clearing fractions. In my class, there are parentheses in the original equation. And when using distributi

ve property, we don’t multiply the numbers within the original parentheses. Why?

Mathematics
1 answer:
AURORKA [14]3 years ago
6 0

Start with

7\left(5x+\dfrac{1}{2}\right)=37x+\dfrac{2}{3}

Multiply both sides by 6:

6\cdot 7\left(5x+\dfrac{1}{2}\right)=6\left(37x+\dfrac{2}{3}\right)

On the left hand side, we have

6\cdot 7\left(5x+\dfrac{1}{2}\right)=42\left(5x+\dfrac{1}{2}\right)

And we can distribute the 42 to get

42\left(5x+\dfrac{1}{2}\right)=210x+21

On the right hand side, we have

6\left(37x+\dfrac{2}{3}\right)=222x+4

So, the equation becomes

210x+21=222x+4

Subtract 210x from both sides to get

21=12x+4

Subtract 4 from both sides to get

17=12x

Divide both sides by 12 to get

x=\dfrac{17}{12}

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