Solve {l}{xy=a^2}{x=a}

$$\left. \begin{array} { l } { x y = a ^ { 2 } } \\ { x = a } \end{array} \right.$$

Solve for x, y (complex solution)

$$\left\{\begin{matrix}\\x=a\text{, }y=a\text{, }&\text{unconditionally}\\x=0\text{, }y\in \mathrm{C}\text{, }&a=0\end{matrix}\right.$$

Steps Using Substitution

Pick one of the two equations which is more simple to solve for x by isolating x on the left hand side of the equal sign.

$$x=a$$

Substitute a for x in xy=a^{2}. Because the resulting equation contains only one variable, you can solve for y directly.

$$ay=a^{2}$$

Divide a^{2} by a.

$$y=a$$

The system is now solved.

$$x=a,y=a$$

Solve for x, y

$$\left\{\begin{matrix}\\x=a\text{, }y=a\text{, }&\text{unconditionally}\\x=0\text{, }y\in \mathrm{R}\text{, }&a=0\end{matrix}\right.$$

Steps Using Substitution

Pick one of the two equations which is more simple to solve for x by isolating x on the left hand side of the equal sign.

$$x=a$$

Substitute a for x in xy=a^{2}. Because the resulting equation contains only one variable, you can solve for y directly.

$$ay=a^{2}$$

Divide a^{2} by a.

$$y=a$$

The system is now solved.

$$x=a,y=a$$