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Determine the value of [tex]\( y \)[/tex] if [tex]\( x \)[/tex] is 5.

[tex]\[ y = \frac{38}{x+14} \][/tex]

Sagot :

GinnyAnswer
To determine the value of [tex]\( y \)[/tex], given [tex]\( x = 5 \)[/tex] and the equation [tex]\( y = \frac{38}{x + 14} \)[/tex], we will follow these steps:

1. Substitute the value of [tex]\( x \)[/tex] into the equation:
Given [tex]\( x = 5 \)[/tex], we replace [tex]\( x \)[/tex] in the equation with 5. The equation becomes:
[tex]\[ y = \frac{38}{5 + 14} \][/tex]

2. Simplify the expression in the denominator:
Calculate the sum inside the denominator:
[tex]\[ 5 + 14 = 19 \][/tex]

3. Substitute this sum back into the equation:
Now, the equation is:
[tex]\[ y = \frac{38}{19} \][/tex]

4. Perform the division:
Divide 38 by 19:
[tex]\[ y = 2 \][/tex]

Thus, the value of [tex]\( y \)[/tex] is [tex]\( 2.0 \)[/tex].
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