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Solve for the variable x  in terms of y  and z, assuming $y \neq \frac{1}{2}$: \[xy + x = \frac{3x + 2y + z}{2}.\]

 Jun 18, 2024
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xy + x = (3x + 2y + z) / 2

 

2 (xy + x)  = 3x + 2y + z

 

2xy + 2x =  3x + 2y + z

 

2xy - x = 2y + z

 

x ( 2y -1)  = 2y + z

 

x = ( 2y + z)  / ( 2y  -1)

 

cool cool cool

 Jun 18, 2024

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