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2 years ago

Make y the subject of the equation 2A=x(2y+z)

Mathematics

2 answers:

QveST [7]2 years ago

8 0

2A = 2xy + xz

2A - xz = 2xy + xz - xz

2A - xz = 2xy

( 2A - xz ) ÷ 2x = 2xy ÷ 2x

A/x - z/2 = y

frez [133]2 years ago

3 0

Hi there!

»»————-　★　————-««

I believe your answer is:

$y = \frac{2A-xz}{2x}; x \neq 0$

»»————-　★　————-««

Here’s why:

⸻⸻⸻⸻

$2A = x(2y+z)\\\\\rightarrow x(2y+z)=2A\\\\\rightarrow\frac{x(2y+z)=2A}{x}\\\\\rightarrow 2y + z = \frac{2A}{x}\\\\\rightarrow 2y + z - z = \frac{2A}{x}-z\\\\\rightarrow 2y = \frac{2A}{x} - z\\\\\rightarrow\frac{2y = \frac{2A}{x} - z}{2}\\\\\rightarrow \boxed{y = \frac{2A-xz}{2x}}$

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Hope this helps you. I apologize if it’s incorrect.

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Make y the subject of the equation 2A=x(2y+z)​

Make y the subject of the equation 2A=x(2y+z)