Remove parentheses.
\[\frac{x}{3}+1,y-\frac{2}{3}=(\frac{5}{3},\frac{1}{3})f\imath ndxandy\]
Simplify \((\frac{5}{3},\frac{1}{3})f\imath ndxandy\) to \(\frac{5f\imath {n}^{2}{d}^{2}xay}{3,1\times 3}\).
\[\frac{x}{3}+1,y-\frac{2}{3}=\frac{5f\imath {n}^{2}{d}^{2}xay}{3,1\times 3}\]
Regroup terms.
\[\frac{x}{3}+1,y-\frac{2}{3}=\frac{5\imath f{n}^{2}{d}^{2}xay}{3,1\times 3}\]
Simplify \(1\times 3\) to \(3\).
\[\frac{x}{3}+1,y-\frac{2}{3}=\frac{5\imath f{n}^{2}{d}^{2}xay}{3,3}\]
Simplify \(\frac{5\imath f{n}^{2}{d}^{2}xay}{3,3}\) to \(\frac{5\imath f{n}^{2}{d}^{2}xay}{3},3\).
\[\frac{x}{3}+1,y-\frac{2}{3}=\frac{5\imath f{n}^{2}{d}^{2}xay}{3},3\]
Multiply both sides by \(3,3\).
\[(\frac{x}{3}+1)\times 3,3,(y-\frac{2}{3})\times 3,3=5\imath f{n}^{2}{d}^{2}xay\]
Regroup terms.
\[3(\frac{x}{3}+1),3,(y-\frac{2}{3})\times 3,3=5\imath f{n}^{2}{d}^{2}xay\]
Regroup terms.
\[3(\frac{x}{3}+1),3,3(y-\frac{2}{3}),3=5\imath f{n}^{2}{d}^{2}xay\]
Switch sides.
\[5\imath f{n}^{2}{d}^{2}xay=3(\frac{x}{3}+1),3,3(y-\frac{2}{3}),3\]
Break down the problem into these 4 equations.
\[5\imath f{n}^{2}{d}^{2}xay=3(\frac{x}{3}+1)\]
\[5\imath f{n}^{2}{d}^{2}xay=3\]
\[5\imath f{n}^{2}{d}^{2}xay=3(y-\frac{2}{3})\]
\[5\imath f{n}^{2}{d}^{2}xay=3\]
Solve the 1st equation: \(5\imath f{n}^{2}{d}^{2}xay=3(\frac{x}{3}+1)\).
Divide both sides by \(5\).
\[\imath f{n}^{2}{d}^{2}xay=\frac{3(\frac{x}{3}+1)}{5}\]
Divide both sides by \(\imath \).
\[f{n}^{2}{d}^{2}xay=\frac{\frac{3(\frac{x}{3}+1)}{5}}{\imath }\]
Simplify \(\frac{\frac{3(\frac{x}{3}+1)}{5}}{\imath }\) to \(\frac{3(\frac{x}{3}+1)}{5\imath }\).
\[f{n}^{2}{d}^{2}xay=\frac{3(\frac{x}{3}+1)}{5\imath }\]
Divide both sides by \({n}^{2}\).
\[f{d}^{2}xay=\frac{\frac{3(\frac{x}{3}+1)}{5\imath }}{{n}^{2}}\]
Simplify \(\frac{\frac{3(\frac{x}{3}+1)}{5\imath }}{{n}^{2}}\) to \(\frac{3(\frac{x}{3}+1)}{5\imath {n}^{2}}\).
\[f{d}^{2}xay=\frac{3(\frac{x}{3}+1)}{5\imath {n}^{2}}\]
Divide both sides by \({d}^{2}\).
\[fxay=\frac{\frac{3(\frac{x}{3}+1)}{5\imath {n}^{2}}}{{d}^{2}}\]
Simplify \(\frac{\frac{3(\frac{x}{3}+1)}{5\imath {n}^{2}}}{{d}^{2}}\) to \(\frac{3(\frac{x}{3}+1)}{5\imath {n}^{2}{d}^{2}}\).
\[fxay=\frac{3(\frac{x}{3}+1)}{5\imath {n}^{2}{d}^{2}}\]
Divide both sides by \(x\).
\[fay=\frac{\frac{3(\frac{x}{3}+1)}{5\imath {n}^{2}{d}^{2}}}{x}\]
Simplify \(\frac{\frac{3(\frac{x}{3}+1)}{5\imath {n}^{2}{d}^{2}}}{x}\) to \(\frac{3(\frac{x}{3}+1)}{5\imath {n}^{2}{d}^{2}x}\).
\[fay=\frac{3(\frac{x}{3}+1)}{5\imath {n}^{2}{d}^{2}x}\]
Divide both sides by \(a\).
\[fy=\frac{\frac{3(\frac{x}{3}+1)}{5\imath {n}^{2}{d}^{2}x}}{a}\]
Simplify \(\frac{\frac{3(\frac{x}{3}+1)}{5\imath {n}^{2}{d}^{2}x}}{a}\) to \(\frac{3(\frac{x}{3}+1)}{5\imath {n}^{2}{d}^{2}xa}\).
\[fy=\frac{3(\frac{x}{3}+1)}{5\imath {n}^{2}{d}^{2}xa}\]
Divide both sides by \(y\).
\[f=\frac{\frac{3(\frac{x}{3}+1)}{5\imath {n}^{2}{d}^{2}xa}}{y}\]
Simplify \(\frac{\frac{3(\frac{x}{3}+1)}{5\imath {n}^{2}{d}^{2}xa}}{y}\) to \(\frac{3(\frac{x}{3}+1)}{5\imath {n}^{2}{d}^{2}xay}\).
\[f=\frac{3(\frac{x}{3}+1)}{5\imath {n}^{2}{d}^{2}xay}\]
\[f=\frac{3(\frac{x}{3}+1)}{5\imath {n}^{2}{d}^{2}xay}\]
Solve the 2nd equation: \(5\imath f{n}^{2}{d}^{2}xay=3\).
Divide both sides by \(5\).
\[\imath f{n}^{2}{d}^{2}xay=\frac{3}{5}\]
Divide both sides by \(\imath \).
\[f{n}^{2}{d}^{2}xay=\frac{\frac{3}{5}}{\imath }\]
Simplify \(\frac{\frac{3}{5}}{\imath }\) to \(\frac{3}{5\imath }\).
\[f{n}^{2}{d}^{2}xay=\frac{3}{5\imath }\]
Divide both sides by \({n}^{2}\).
\[f{d}^{2}xay=\frac{\frac{3}{5\imath }}{{n}^{2}}\]
Simplify \(\frac{\frac{3}{5\imath }}{{n}^{2}}\) to \(\frac{3}{5\imath {n}^{2}}\).
\[f{d}^{2}xay=\frac{3}{5\imath {n}^{2}}\]
Divide both sides by \({d}^{2}\).
\[fxay=\frac{\frac{3}{5\imath {n}^{2}}}{{d}^{2}}\]
Simplify \(\frac{\frac{3}{5\imath {n}^{2}}}{{d}^{2}}\) to \(\frac{3}{5\imath {n}^{2}{d}^{2}}\).
\[fxay=\frac{3}{5\imath {n}^{2}{d}^{2}}\]
Divide both sides by \(x\).
\[fay=\frac{\frac{3}{5\imath {n}^{2}{d}^{2}}}{x}\]
Simplify \(\frac{\frac{3}{5\imath {n}^{2}{d}^{2}}}{x}\) to \(\frac{3}{5\imath {n}^{2}{d}^{2}x}\).
\[fay=\frac{3}{5\imath {n}^{2}{d}^{2}x}\]
Divide both sides by \(a\).
\[fy=\frac{\frac{3}{5\imath {n}^{2}{d}^{2}x}}{a}\]
Simplify \(\frac{\frac{3}{5\imath {n}^{2}{d}^{2}x}}{a}\) to \(\frac{3}{5\imath {n}^{2}{d}^{2}xa}\).
\[fy=\frac{3}{5\imath {n}^{2}{d}^{2}xa}\]
Divide both sides by \(y\).
\[f=\frac{\frac{3}{5\imath {n}^{2}{d}^{2}xa}}{y}\]
Simplify \(\frac{\frac{3}{5\imath {n}^{2}{d}^{2}xa}}{y}\) to \(\frac{3}{5\imath {n}^{2}{d}^{2}xay}\).
\[f=\frac{3}{5\imath {n}^{2}{d}^{2}xay}\]
\[f=\frac{3}{5\imath {n}^{2}{d}^{2}xay}\]
Solve the 3rd equation: \(5\imath f{n}^{2}{d}^{2}xay=3(y-\frac{2}{3})\).
Divide both sides by \(5\).
\[\imath f{n}^{2}{d}^{2}xay=\frac{3(y-\frac{2}{3})}{5}\]
Divide both sides by \(\imath \).
\[f{n}^{2}{d}^{2}xay=\frac{\frac{3(y-\frac{2}{3})}{5}}{\imath }\]
Simplify \(\frac{\frac{3(y-\frac{2}{3})}{5}}{\imath }\) to \(\frac{3(y-\frac{2}{3})}{5\imath }\).
\[f{n}^{2}{d}^{2}xay=\frac{3(y-\frac{2}{3})}{5\imath }\]
Divide both sides by \({n}^{2}\).
\[f{d}^{2}xay=\frac{\frac{3(y-\frac{2}{3})}{5\imath }}{{n}^{2}}\]
Simplify \(\frac{\frac{3(y-\frac{2}{3})}{5\imath }}{{n}^{2}}\) to \(\frac{3(y-\frac{2}{3})}{5\imath {n}^{2}}\).
\[f{d}^{2}xay=\frac{3(y-\frac{2}{3})}{5\imath {n}^{2}}\]
Divide both sides by \({d}^{2}\).
\[fxay=\frac{\frac{3(y-\frac{2}{3})}{5\imath {n}^{2}}}{{d}^{2}}\]
Simplify \(\frac{\frac{3(y-\frac{2}{3})}{5\imath {n}^{2}}}{{d}^{2}}\) to \(\frac{3(y-\frac{2}{3})}{5\imath {n}^{2}{d}^{2}}\).
\[fxay=\frac{3(y-\frac{2}{3})}{5\imath {n}^{2}{d}^{2}}\]
Divide both sides by \(x\).
\[fay=\frac{\frac{3(y-\frac{2}{3})}{5\imath {n}^{2}{d}^{2}}}{x}\]
Simplify \(\frac{\frac{3(y-\frac{2}{3})}{5\imath {n}^{2}{d}^{2}}}{x}\) to \(\frac{3(y-\frac{2}{3})}{5\imath {n}^{2}{d}^{2}x}\).
\[fay=\frac{3(y-\frac{2}{3})}{5\imath {n}^{2}{d}^{2}x}\]
Divide both sides by \(a\).
\[fy=\frac{\frac{3(y-\frac{2}{3})}{5\imath {n}^{2}{d}^{2}x}}{a}\]
Simplify \(\frac{\frac{3(y-\frac{2}{3})}{5\imath {n}^{2}{d}^{2}x}}{a}\) to \(\frac{3(y-\frac{2}{3})}{5\imath {n}^{2}{d}^{2}xa}\).
\[fy=\frac{3(y-\frac{2}{3})}{5\imath {n}^{2}{d}^{2}xa}\]
Divide both sides by \(y\).
\[f=\frac{\frac{3(y-\frac{2}{3})}{5\imath {n}^{2}{d}^{2}xa}}{y}\]
Simplify \(\frac{\frac{3(y-\frac{2}{3})}{5\imath {n}^{2}{d}^{2}xa}}{y}\) to \(\frac{3(y-\frac{2}{3})}{5\imath {n}^{2}{d}^{2}xay}\).
\[f=\frac{3(y-\frac{2}{3})}{5\imath {n}^{2}{d}^{2}xay}\]
\[f=\frac{3(y-\frac{2}{3})}{5\imath {n}^{2}{d}^{2}xay}\]
Solve the 4th equation: \(5\imath f{n}^{2}{d}^{2}xay=3\).
Divide both sides by \(5\).
\[\imath f{n}^{2}{d}^{2}xay=\frac{3}{5}\]
Divide both sides by \(\imath \).
\[f{n}^{2}{d}^{2}xay=\frac{\frac{3}{5}}{\imath }\]
Simplify \(\frac{\frac{3}{5}}{\imath }\) to \(\frac{3}{5\imath }\).
\[f{n}^{2}{d}^{2}xay=\frac{3}{5\imath }\]
Divide both sides by \({n}^{2}\).
\[f{d}^{2}xay=\frac{\frac{3}{5\imath }}{{n}^{2}}\]
Simplify \(\frac{\frac{3}{5\imath }}{{n}^{2}}\) to \(\frac{3}{5\imath {n}^{2}}\).
\[f{d}^{2}xay=\frac{3}{5\imath {n}^{2}}\]
Divide both sides by \({d}^{2}\).
\[fxay=\frac{\frac{3}{5\imath {n}^{2}}}{{d}^{2}}\]
Simplify \(\frac{\frac{3}{5\imath {n}^{2}}}{{d}^{2}}\) to \(\frac{3}{5\imath {n}^{2}{d}^{2}}\).
\[fxay=\frac{3}{5\imath {n}^{2}{d}^{2}}\]
Divide both sides by \(x\).
\[fay=\frac{\frac{3}{5\imath {n}^{2}{d}^{2}}}{x}\]
Simplify \(\frac{\frac{3}{5\imath {n}^{2}{d}^{2}}}{x}\) to \(\frac{3}{5\imath {n}^{2}{d}^{2}x}\).
\[fay=\frac{3}{5\imath {n}^{2}{d}^{2}x}\]
Divide both sides by \(a\).
\[fy=\frac{\frac{3}{5\imath {n}^{2}{d}^{2}x}}{a}\]
Simplify \(\frac{\frac{3}{5\imath {n}^{2}{d}^{2}x}}{a}\) to \(\frac{3}{5\imath {n}^{2}{d}^{2}xa}\).
\[fy=\frac{3}{5\imath {n}^{2}{d}^{2}xa}\]
Divide both sides by \(y\).
\[f=\frac{\frac{3}{5\imath {n}^{2}{d}^{2}xa}}{y}\]
Simplify \(\frac{\frac{3}{5\imath {n}^{2}{d}^{2}xa}}{y}\) to \(\frac{3}{5\imath {n}^{2}{d}^{2}xay}\).
\[f=\frac{3}{5\imath {n}^{2}{d}^{2}xay}\]
\[f=\frac{3}{5\imath {n}^{2}{d}^{2}xay}\]
Collect all solutions.
\[f=\frac{3(\frac{x}{3}+1)}{5\imath {n}^{2}{d}^{2}xay},\frac{3}{5\imath {n}^{2}{d}^{2}xay},\frac{3(y-\frac{2}{3})}{5\imath {n}^{2}{d}^{2}xay}\]
f=(3*(x/3+1))/(5*IM*n^2*d^2*x*a*y),3/(5*IM*n^2*d^2*x*a*y),(3*(y-2/3))/(5*IM*n^2*d^2*x*a*y)
