What is expand ((80x)/(20)=(xz)/(30)+(xy)/(30))(20)(30) ?

The solution to expand ((80x)/(20)=(xz)/(30)+(xy)/(30))(20)(30) is 2400x=(xz)/(30)+20xy

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expand ((80x)/(20)=(xz)/(30)+(xy)/(30))(20)(30)

expand

(\frac{80 x}{20} = \frac{x z}{30} + \frac{x y}{30}) (20) (30)

2400 x = \frac{x z}{30} + 20 x y

Solution steps

(\frac{80 x}{20} = \frac{x z}{30} + \frac{x y}{30}) (20) (30)

= (20) (30) (= \frac{x z}{30} \cdot \frac{80 x}{20} + \frac{x y}{30})

Apply the distributive law:

a (b + c) = ab + a c

a = (20) (30), b = \frac{80 x}{20} = \frac{x z}{30}, c = \frac{x y}{30}

(20) (30) \frac{80 x}{20} = \frac{x z}{30} + (20) (30) \frac{x y}{30}

Simplify

(20) (30) \frac{80 x}{20} = \frac{x z}{30} + (20) (30) \frac{x y}{30} : 2400 x = \frac{x z}{30} + 20 x y

2400 x = \frac{x z}{30} + 20 x y

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What is expand ((80x)/(20)=(xz)/(30)+(xy)/(30))(20)(30) ?
The solution to expand ((80x)/(20)=(xz)/(30)+(xy)/(30))(20)(30) is 2400x=(xz)/(30)+20xy