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2 years ago

Solve (x+5)+4=16 by first subtracting 4 and then 5. Show your work and justify each step.

Mathematics

1 answer:

Vinil7 [7]2 years ago

3 0

$(x+5)+4=16\ \ \ subtract\ 4 \ and \ 5 \ to\ both\ sides \\\\x+5+4-5-4=16-4-5 \\\\x=7$

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X puᴉɟ oʇ ǝʌɐɥ noʎ<br><br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20%7B%7D%5E%7B2%7D%20%7D%7B5%20%7B%7D%5E%7B2%7D%20%7D

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Hello there! The value of x is 20 or -20

"20 or - 20" is one answer so you are supposed to answer 20 or -20, not choose only one.

Step-by-step explanation:

$\large{ \frac{ {x}^{2} }{ {5}^{2} } = {4}^{2} }$

First, we simplify 5² and 4²

$\large{ \frac{ {x}^{2} }{25} = 16}$

Multiply the whole equation by 25 to get rid of the denominator.

$\large{ \frac{ {x}^{2} }{25} (25) = 16(25)} \\ \large{ {x}^{2} = 400}$

Square both sides and solve the equation.

$\large{ \sqrt{ {x}^{2} } = \pm{ \sqrt{400} }}$

Also don't forget to write "plus or minus" symbol when we are solving a quadratic equation by squaring both sides.

$\large{x = \pm{20}}$

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