Solve for a (complex solution)
\left\{\begin{matrix}a=-\frac{3\left(5x-3\right)}{2y}\text{, }&y\neq 0\\a\in \mathrm{C}\text{, }&x=\frac{3}{5}\text{ and }y=0\end{matrix}\right.
Solve for a
\left\{\begin{matrix}a=-\frac{3\left(5x-3\right)}{2y}\text{, }&y\neq 0\\a\in \mathrm{R}\text{, }&x=\frac{3}{5}\text{ and }y=0\end{matrix}\right.
Solve for x
x=-\frac{2ay}{15}+\frac{3}{5}
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15x+2ay=9
Multiply both sides of the equation by 3.
2ay=9-15x
Subtract 15x from both sides.
2ya=9-15x
The equation is in standard form.
\frac{2ya}{2y}=\frac{9-15x}{2y}
Divide both sides by 2y.
a=\frac{9-15x}{2y}
Dividing by 2y undoes the multiplication by 2y.
a=\frac{3\left(3-5x\right)}{2y}
Divide 9-15x by 2y.
15x+2ay=9
Multiply both sides of the equation by 3.
2ay=9-15x
Subtract 15x from both sides.
2ya=9-15x
The equation is in standard form.
\frac{2ya}{2y}=\frac{9-15x}{2y}
Divide both sides by 2y.
a=\frac{9-15x}{2y}
Dividing by 2y undoes the multiplication by 2y.
a=\frac{3\left(3-5x\right)}{2y}
Divide 9-15x by 2y.
15x+2ay=9
Multiply both sides of the equation by 3.
15x=9-2ay
Subtract 2ay from both sides.
\frac{15x}{15}=\frac{9-2ay}{15}
Divide both sides by 15.
x=\frac{9-2ay}{15}
Dividing by 15 undoes the multiplication by 15.
x=-\frac{2ay}{15}+\frac{3}{5}
Divide 9-2ay by 15.
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