3 years ago

(2x + 3)/5 = (x - 2)/3 What is x?

Mathematics

1 answer:

RSB [31]3 years ago

8 0

The answer should be 5 or -5

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Dropping less than two inches per mile after emerging from the mountains, a river drains into the ocean. One day's discharge a

forsale [732]

Answer:

4000 gallons.

Step-by-step explanation:

One day's discharge at the mouth of the river is 2 trillion gallons and it can supply all of country A's households for five months.

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3 years ago

Item 6 for what value of a is 8x−8+3ax=5ax−2a an identity?

Readme [11.4K]

Let's rewrite the expression as

$8x+3ax-5ax = 8-2a \iff 8x - 2ax = 8-2a \iff 2x(4-a) = 2(4-a)$

So, if $a \neq 4$ , you may divide both sides by $4-a$ , the equation becomes $2x=2$ , and the only solution is $x=1$ , which means that this is not an identity (an indentity is tautologically true, no matter the value of x).

If instead $a = 4$ , you are multiplying both sides by zero, so the equation becomes

$2x \cdot 0 = 2 \cdot 0 \iff 0=0$

So, it doesn't matter which value for x you choose, because you will always end up with $0=0$ , which is obviously always true.

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4 years ago