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Anna11 [10]
2 years ago
12

If four times a number, added to 3 is divided by the number plus 2, the result is seven halves. Find the number.

Mathematics
1 answer:
dmitriy555 [2]2 years ago
4 0

Answer:

X=-8

Step-by-step explanation:

A number x is multiplied by 4, added to 3, and then divided by x+2, leaving us with 7/2. Or, as an equation:

\frac{4x + 3}{x + 2}  =  \frac{7}{2}

Now, let's cross multiply:

2(4x + 3) = 7(x + 2)

8x + 6 = 7x + 14

And solve:

x + 6 = 14

x =  - 8

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