Simplify 5/8x -2y +3/4x-8y

Mathematics

1 answer:

AleksandrR [38]3 years ago

8 0

Answer:

On simplification, $\frac{5}{8}x - 2y + \frac{3}{4}x -8y = (\frac{11}{8}) x - 10y$

Step-by-step explanation:

Here, the given expression is:

$\frac{5}{8}x - 2y + \frac{3}{4}x -8y$

Now, we can perform operations only on LIKE TERMS,

So, in this expression, separate the like terms we get:

$\frac{5}{8}x - 2y + \frac{3}{4}x -8y = \frac{5}{8}x + \frac{3}{4}x - 2y -8y\\= (\frac{5}{8} + \frac{3}{4})x -(2y + 8y) = (\frac{5 + 3(2)}{8}) x - (10y)\\= (\frac{11}{8}) x - 10y\\\implies \frac{5}{8}x - 2y + \frac{3}{4}x -8y = (\frac{11}{8}) x - 10y$

Hence, on simplification, $\frac{5}{8}x - 2y + \frac{3}{4}x -8y = (\frac{11}{8}) x - 10y$

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