Find the Union (or) two x plus y equals thirty , x plus two y equals twenty-four , x , y equals zero

$2 x + y = 30$ , $x + 2 y = 24$ , $x$ , $y = 0$

Clarify the Initially inequality.

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Subtract $y$ from both sides of the equation.

$2 x = 30 - y$

First, divide each term by $2$ and simplify.

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Divide each term in $2 x = 30 - y$ by $2$ .

$\frac{2 x}{2} = \frac{30}{2} + \frac{- y}{2}$

The common factor should be canceled of $2$ .

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Cancel the common factor.

$\frac{2 x}{2} = \frac{30}{2} + \frac{- y}{2}$

Divide $x$ by $1$ .

$x = \frac{30}{2} + \frac{- y}{2}$

Clarify each term.

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Divide $30$ by $2$ .

$x = 15 + \frac{- y}{2}$

Put the negative in front of the fraction.

$x = 15 - \frac{y}{2}$

Subtract $2 y$ from both sides of the equation.

$x = 24 - 2 y$

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