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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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Solve the system by substitution<br> -x - y - z= -8<br> -4x + 4y + 5z = 7<br> 2x + 2z = 4
Stella [2.4K]

First:

2x + 2z = 4

2(x+z)=4

x+z=4/2

x=2-z

-x - y - z=  -8

-(2-z)-y-z= -8         replace x

-2+z-y-z= -8          (cancel z)

-2-y= -8

6 = y

Then:

-4x + 4y + 5z = 7  replace x and y

-4(2-z)+4*6 + 5z = 7

-8 + 4z + 24 + 5z = 7

16 + 9z = 7

9z = 7 - 16

9z = -9

z = -9/9

z= -1

Finally

x= 2-z  replace z

x = 2- (-1)

x = 3

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3 years ago
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Step-by-step explanation:

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