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2 years ago

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Simplify: 5/4x-8y-1/4x+7y+3 A)x-y+3 B)3/2x+y+3 C)3/2x-y+3 D)x+y+3

1 answer:

Dovator [93]2 years ago

6 0

<span>A)x-y+3 is your answer

Proof:

(5 x)/4 - 8 y - x/4 + 7 y + 3
Put each term in (5 x)/4 - 8 y - x/4 + 7 y + 3 over the common denominator 4: (5 x)/4 - 8 y - x/4 + 7 y + 3 = (5 x)/4 - (32 y)/4 - (x)/4 + (28 y)/4 + 12/4:
(5 x)/4 - (32 y)/4 - x/4 + (28 y)/4 + 12/4
(5 x)/4 - (32 y)/4 - x/4 + (28 y)/4 + 12/4 = (5 x - 32 y - x + 28 y + 12)/4:
(5 x - 32 y - x + 28 y + 12)/4
Grouping like terms, 5 x - 32 y - x + 28 y + 12 = (28 y - 32 y) + (5 x - x) + 12:
((28 y - 32 y) + (5 x - x) + 12)/4
28 y - 32 y = -4 y:
(-4 y + (5 x - x) + 12)/4
5 x - x = 4 x:
(-4 y + 4 x + 12)/4
Factor 4 out of -4 y + 4 x + 12:
(4 (-y + x + 3))/4
(4 (-y + x + 3))/4 = 4/4×(3 + x - y) = 3 + x - y:
Answer: 3 + x - y
</span>

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Hello!!

════ ⋆★⋆ ════

$\mathbb{A~N~S~W~E~R~:}$

$= r$ · $2$

➡ $\Huge \sf \mathbb \color{}\underline{\colorbox{ANSWER~WITH~EXPLANATION ~!}{}}$

$\mathfrak{apply~the~fraction~rule: }$ $a$ $\frac{b}{c} =\frac{a~. ~b }{c}$

$\mathfrak{apply~rule: }$ $a$ · $1 = a$

$r$ · $1$ · $4 = r$ · $4$

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$= r$ · $2$

So, your answer will be is :

$= r$ · $2$

$\color{}{Hope\:it\:helps. ..}$

#LearnWithBrainly

$\mathbb{A~N~S~W~E~R~:}$

$\mathfrak{Jace}$

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