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galben [10]
3 years ago
13

X and y simplifying problem. Please explain how to do thiese. I will gove 15 points

Mathematics
1 answer:
Strike441 [17]3 years ago
4 0

\dfrac 56 x + \dfrac25 y - \dfrac14 x + \dfrac3{10} y

First, combine like terms:

\left(\dfrac 56 - \dfrac14\right) x + \left(\dfrac25 + \dfrac3{10}\right)y

Now just simplify the coefficients of x and y. We do this by converting each pair of fractions to ones with a common denominator. Then we can combine them easily.

\dfrac56 - \dfrac14 = \dfrac56\cdot\dfrac22 - \dfrac14\cdot\dfrac33 = \dfrac{5\cdot2}{6\cdot2} - \dfrac{1\cdot3}{4\cdot3} = \dfrac{10}{12} - \dfrac3{12} = \dfrac{10-3}{12} = \dfrac7{12}

\dfrac25 + \dfrac3{10} = \dfrac25\cdot\dfrac22 + \dfrac3{10} = \dfrac{2\cdot2}{5\cdot2} + \dfrac3{10} = \dfrac4{10} + \dfrac3{10} = \dfrac{4+3}{10} = \dfrac7{10}

So the simplified expression would be

\dfrac7{12} x + \dfrac7{10} y

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