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3 years ago

Mario started with the expression 2(x+ y) + 5(x+7y), applied several steps and simplified the

Mathematics

1 answer:

Artemon [7]3 years ago

3 0

Answer:

$8x + 32y$

Step-by-step explanation:

Given

$2(x+ y) + 5(x+7y)$

Required

Expand and identify the steps

$2(x+ y) + 5(x+7y)$

Apply distributive property

$3x + 2y+ 5x + 35y$

Apply associative property

$3x + 5x + 2y+ 35y$

$8x + 32y$

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With a detailed explanation from the internet 1/(x-5)+3/(x+2)=4

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Answer:

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Explanation:

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$\rightarrow \sf \dfrac{1(x+2)}{(x-5)(x+2)}+\dfrac{3(x-5)}{(x+2)(x-5)}=4$

join the fractions together

$\rightarrow \sf \dfrac{x+2+3x-15}{(x-5)(x+2)}=4$

cross multiply

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use quadratic formula

$\rightarrow \sf x = \dfrac{-\left(-16\right)\pm \sqrt{\left(-16\right)^2-4\cdot \:4\left(-27\right)}}{2\cdot \:4}$

simplify the following

$\rightarrow \sf x=\dfrac{4\pm\sqrt{43}}{2}$

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