SOLUTION: Please help me solve this equation 4/xy+16/xz+20/yz=12 solve for y

Algebra ->  Equations -> SOLUTION: Please help me solve this equation 4/xy+16/xz+20/yz=12 solve for y      Log On


   

Question 489975: Please help me solve this equation 4/xy+16/xz+20/yz=12 solve for y
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
4%2Fxy%2B16%2Fxz%2B20%2Fyz=12 solve for y

4%2Fxy%2B20%2Fyz=12-16%2Fxz....common denominator for xy and yz is xyz

4z%2Fxyz%2B20x%2Fxyz=12-16%2Fxz

%284z%2B20x%29%2Fxyz=12-16%2Fxz

4z%2B20x=%2812-16%2Fxz%29xyz
4z%2B20x=12xyz-%2816%2Fxz%29xyz
4z%2B20x=12xyz-%2816%2Fcross%28xz%29%29cross%28x%29y%2Across%28z%29

4z%2B20x=12xyz-16y

4%28z%2B5x%29=y%2812xz-16%29

%284%28z%2B5x%29%29%2F%2812xz-16%29=y

%284%28z%2B5x%29%29%2F4%283xz-4%29=y

%28cross%284%29%28z%2B5x%29%29%2Fcross%284%29%283xz-4%29=y

%28z%2B5x%29%2F%283xz-4%29=y