Use Product Rule : \({x}^{a}{x}^{b}={x}^{a+b}\).
\[\begin{aligned}&EXAMPLE\times 5AnIn{\imath }^{2}tal-ValueProblemSolve\times \frac{d}{d}xy+y=x\\&y\times 0=4\end{aligned}\]
Use Square Rule : \({i}^{2}=-1\).
\[\begin{aligned}&EXAMPLE\times 5AnIn\times -1\times tal-ValueProblemSolve\times \frac{d}{d}xy+y=x\\&y\times 0=4\end{aligned}\]
Simplify \(EXAMPLE\times 5AnIn\times -1\times tal\) to \(-5talEXAMPLEAnIn\).
\[\begin{aligned}&-5talEXAMPLEAnIn-ValueProblemSolve\times \frac{d}{d}xy+y=x\\&y\times 0=4\end{aligned}\]
Regroup terms.
\[\begin{aligned}&-5EXAMPLEAnIntal-ValueProblemSolve\times \frac{d}{d}xy+y=x\\&y\times 0=4\end{aligned}\]
Cancel \(d\).
\[\begin{aligned}&-5EXAMPLEAnIntal-ValueProblemSolvexy+y=x\\&y\times 0=4\end{aligned}\]
Regroup terms.
\[\begin{aligned}&-5EXAMPLEAnIntal-llluobvxyVaePremSoe+y=x\\&y\times 0=4\end{aligned}\]
Simplify \(llluobvxyVaePremSoe\) to \({l}^{3}uobvxyVaePremSoe\).
\[\begin{aligned}&-5EXAMPLEAnIntal-{l}^{3}uobvxyVaePremSoe+y=x\\&y\times 0=4\end{aligned}\]
Use Product Rule : \({x}^{a}{x}^{b}={x}^{a+b}\).
\[\begin{aligned}&-5EXAMPLEAnIntal-{l}^{3}uobvxyVaePr{e}^{2}mSo+y=x\\&y\times 0=4\end{aligned}\]
Regroup terms.
\[\begin{aligned}&-5EXAMPLEAnIntal-VaePr{e}^{2}mSo{l}^{3}uobvxy+y=x\\&y\times 0=4\end{aligned}\]
Simplify \(y\times 0\) to \(0\).
\[\begin{aligned}&-5EXAMPLEAnIntal-VaePr{e}^{2}mSo{l}^{3}uobvxy+y=x\\&0=4\end{aligned}\]
Break down the problem into these 2 equations.
\[-5EXAMPLEAnIntal-VaePr{e}^{2}mSo{l}^{3}uobvxy+y=x\]
\[-5EXAMPLEAnIntal-VaePr{e}^{2}mSo{l}^{3}uobvxy+y=0\]
Solve the 1st equation: \(-5EXAMPLEAnIntal-VaePr{e}^{2}mSo{l}^{3}uobvxy+y=x\).
Add \(VaePr{e}^{2}mSo{l}^{3}uobvxy\) to both sides.
\[-5EXAMPLEAnIntal+y=x+VaePr{e}^{2}mSo{l}^{3}uobvxy\]
Factor out the common term \(x\).
\[-5EXAMPLEAnIntal+y=x(1+VaePr{e}^{2}mSo{l}^{3}uobvy)\]
Divide both sides by \(1+VaePr{e}^{2}mSo{l}^{3}uobvy\).
\[\frac{-5EXAMPLEAnIntal+y}{1+VaePr{e}^{2}mSo{l}^{3}uobvy}=x\]
Switch sides.
\[x=\frac{-5EXAMPLEAnIntal+y}{1+VaePr{e}^{2}mSo{l}^{3}uobvy}\]
\[x=\frac{-5EXAMPLEAnIntal+y}{1+VaePr{e}^{2}mSo{l}^{3}uobvy}\]
Solve the 2nd equation: \(-5EXAMPLEAnIntal-VaePr{e}^{2}mSo{l}^{3}uobvxy+y=0\).
Add \(5EXAMPLEAnIntal\) to both sides.
\[-VaePr{e}^{2}mSo{l}^{3}uobvxy+y=5EXAMPLEAnIntal\]
Factor out the common term \(y\).
\[-y(VaePr{e}^{2}mSo{l}^{3}uobvx-1)=5EXAMPLEAnIntal\]
Divide both sides by \(-y\).
\[VaePr{e}^{2}mSo{l}^{3}uobvx-1=-\frac{5EXAMPLEAnIntal}{y}\]
Add \(1\) to both sides.
\[VaePr{e}^{2}mSo{l}^{3}uobvx=-\frac{5EXAMPLEAnIntal}{y}+1\]
Divide both sides by \(Va\).
\[ePr{e}^{2}mSo{l}^{3}uobvx=\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{Va}\]
Divide both sides by \(ePr\).
\[{e}^{2}mSo{l}^{3}uobvx=\frac{\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{Va}}{ePr}\]
Simplify \(\frac{\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{Va}}{ePr}\) to \(\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{VaePr}\).
\[{e}^{2}mSo{l}^{3}uobvx=\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{VaePr}\]
Divide both sides by \({e}^{2}\).
\[mSo{l}^{3}uobvx=\frac{\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{VaePr}}{{e}^{2}}\]
Simplify \(\frac{\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{VaePr}}{{e}^{2}}\) to \(\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{VaePr{e}^{2}}\).
\[mSo{l}^{3}uobvx=\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{VaePr{e}^{2}}\]
Divide both sides by \(mSo\).
\[{l}^{3}uobvx=\frac{\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{VaePr{e}^{2}}}{mSo}\]
Simplify \(\frac{\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{VaePr{e}^{2}}}{mSo}\) to \(\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{VaePr{e}^{2}mSo}\).
\[{l}^{3}uobvx=\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{VaePr{e}^{2}mSo}\]
Divide both sides by \({l}^{3}\).
\[uobvx=\frac{\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{VaePr{e}^{2}mSo}}{{l}^{3}}\]
Simplify \(\frac{\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{VaePr{e}^{2}mSo}}{{l}^{3}}\) to \(\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{VaePr{e}^{2}mSo{l}^{3}}\).
\[uobvx=\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{VaePr{e}^{2}mSo{l}^{3}}\]
Divide both sides by \(u\).
\[obvx=\frac{\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{VaePr{e}^{2}mSo{l}^{3}}}{u}\]
Simplify \(\frac{\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{VaePr{e}^{2}mSo{l}^{3}}}{u}\) to \(\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{VaePr{e}^{2}mSo{l}^{3}u}\).
\[obvx=\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{VaePr{e}^{2}mSo{l}^{3}u}\]
Divide both sides by \(o\).
\[bvx=\frac{\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{VaePr{e}^{2}mSo{l}^{3}u}}{o}\]
Simplify \(\frac{\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{VaePr{e}^{2}mSo{l}^{3}u}}{o}\) to \(\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{VaePr{e}^{2}mSo{l}^{3}uo}\).
\[bvx=\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{VaePr{e}^{2}mSo{l}^{3}uo}\]
Divide both sides by \(b\).
\[vx=\frac{\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{VaePr{e}^{2}mSo{l}^{3}uo}}{b}\]
Simplify \(\frac{\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{VaePr{e}^{2}mSo{l}^{3}uo}}{b}\) to \(\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{VaePr{e}^{2}mSo{l}^{3}uob}\).
\[vx=\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{VaePr{e}^{2}mSo{l}^{3}uob}\]
Divide both sides by \(v\).
\[x=\frac{\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{VaePr{e}^{2}mSo{l}^{3}uob}}{v}\]
Simplify \(\frac{\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{VaePr{e}^{2}mSo{l}^{3}uob}}{v}\) to \(\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{VaePr{e}^{2}mSo{l}^{3}uobv}\).
\[x=\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{VaePr{e}^{2}mSo{l}^{3}uobv}\]
\[x=\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{VaePr{e}^{2}mSo{l}^{3}uobv}\]
Collect all solutions.
\[x=\frac{-5EXAMPLEAnIntal+y}{1+VaePr{e}^{2}mSo{l}^{3}uobvy},\frac{-\frac{5EXAMPLEAnIntal}{y}+1}{VaePr{e}^{2}mSo{l}^{3}uobv}\]
x=(-5*EXAMPLE*AnIn*t*a*l+y)/(1+Va*ePr*e^2*mSo*l^3*u*o*b*v*y),(-(5*EXAMPLE*AnIn*t*a*l)/y+1)/(Va*ePr*e^2*mSo*l^3*u*o*b*v)
