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If twice a number, added to 3 is divided by the number plus 5, the result is three halves. Find the number.
The number is…..

Sagot :

Answer:2

Step-by-step explanation:

(2x+5)/3 = 3/2

Multiply both sides by 3:

2x + 5 = 9/2

Subtract 5 from both sides:

2x = 9/2 - 5 = 9/2 - 10/2 = 3/2

Divide both sides by :

x = 3/4

Answer:

-1/3

Step-by-step explanation:

A number x is multiplied by 2, then has 3 added to it, then is divided by x+5, and the answer is 3 halves.

Or, as an equation:

[tex] \frac{2x + 3}{x + 5} = \frac{3}{2} [/tex]

Let's cross multiply:

[tex]4(2x + 3) = 2(x + 5)[/tex]

Expand:

[tex]8x + 12 = 2x + 10[/tex]

Now solve:

[tex]6x + 12 = 10[/tex]

[tex]6x = -2[/tex]

[tex]x = \frac{-1}{3} [/tex]

So the answer is -1/3