Question

$$\left. \begin{array} { l } { 1 z = } \\ { \quad x ^ { 3 } y ^ { 2 } 2 y } \\ { x + y = 9 , x - y = 3 } \end{array} \right.$$

Answer

$$s=(3+y)/(Qu*e^3*nFi*IM*t^2*o^2*n^2*d^2*h*v*a^2*l*u*f*x)$$

Solution


Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[Qu{e}^{3}s{t}^{2}\imath {o}^{2}nFi{n}^{2}{d}^{2}hv{a}^{2}lufx-y=3\]
Regroup terms.
\[Qu{e}^{3}nFi\imath s{t}^{2}{o}^{2}{n}^{2}{d}^{2}hv{a}^{2}lufx-y=3\]
Regroup terms.
\[-y+Qu{e}^{3}nFi\imath s{t}^{2}{o}^{2}{n}^{2}{d}^{2}hv{a}^{2}lufx=3\]
Add \(y\) to both sides.
\[Qu{e}^{3}nFi\imath s{t}^{2}{o}^{2}{n}^{2}{d}^{2}hv{a}^{2}lufx=3+y\]
Divide both sides by \(Qu\).
\[{e}^{3}nFi\imath s{t}^{2}{o}^{2}{n}^{2}{d}^{2}hv{a}^{2}lufx=\frac{3+y}{Qu}\]
Divide both sides by \({e}^{3}\).
\[nFi\imath s{t}^{2}{o}^{2}{n}^{2}{d}^{2}hv{a}^{2}lufx=\frac{\frac{3+y}{Qu}}{{e}^{3}}\]
Simplify  \(\frac{\frac{3+y}{Qu}}{{e}^{3}}\)  to  \(\frac{3+y}{Qu{e}^{3}}\).
\[nFi\imath s{t}^{2}{o}^{2}{n}^{2}{d}^{2}hv{a}^{2}lufx=\frac{3+y}{Qu{e}^{3}}\]
Divide both sides by \(nFi\).
\[\imath s{t}^{2}{o}^{2}{n}^{2}{d}^{2}hv{a}^{2}lufx=\frac{\frac{3+y}{Qu{e}^{3}}}{nFi}\]
Simplify  \(\frac{\frac{3+y}{Qu{e}^{3}}}{nFi}\)  to  \(\frac{3+y}{Qu{e}^{3}nFi}\).
\[\imath s{t}^{2}{o}^{2}{n}^{2}{d}^{2}hv{a}^{2}lufx=\frac{3+y}{Qu{e}^{3}nFi}\]
Divide both sides by \(\imath \).
\[s{t}^{2}{o}^{2}{n}^{2}{d}^{2}hv{a}^{2}lufx=\frac{\frac{3+y}{Qu{e}^{3}nFi}}{\imath }\]
Simplify  \(\frac{\frac{3+y}{Qu{e}^{3}nFi}}{\imath }\)  to  \(\frac{3+y}{Qu{e}^{3}nFi\imath }\).
\[s{t}^{2}{o}^{2}{n}^{2}{d}^{2}hv{a}^{2}lufx=\frac{3+y}{Qu{e}^{3}nFi\imath }\]
Divide both sides by \({t}^{2}\).
\[s{o}^{2}{n}^{2}{d}^{2}hv{a}^{2}lufx=\frac{\frac{3+y}{Qu{e}^{3}nFi\imath }}{{t}^{2}}\]
Simplify  \(\frac{\frac{3+y}{Qu{e}^{3}nFi\imath }}{{t}^{2}}\)  to  \(\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}}\).
\[s{o}^{2}{n}^{2}{d}^{2}hv{a}^{2}lufx=\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}}\]
Divide both sides by \({o}^{2}\).
\[s{n}^{2}{d}^{2}hv{a}^{2}lufx=\frac{\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}}}{{o}^{2}}\]
Simplify  \(\frac{\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}}}{{o}^{2}}\)  to  \(\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}}\).
\[s{n}^{2}{d}^{2}hv{a}^{2}lufx=\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}}\]
Divide both sides by \({n}^{2}\).
\[s{d}^{2}hv{a}^{2}lufx=\frac{\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}}}{{n}^{2}}\]
Simplify  \(\frac{\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}}}{{n}^{2}}\)  to  \(\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}{n}^{2}}\).
\[s{d}^{2}hv{a}^{2}lufx=\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}{n}^{2}}\]
Divide both sides by \({d}^{2}\).
\[shv{a}^{2}lufx=\frac{\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}{n}^{2}}}{{d}^{2}}\]
Simplify  \(\frac{\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}{n}^{2}}}{{d}^{2}}\)  to  \(\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}{n}^{2}{d}^{2}}\).
\[shv{a}^{2}lufx=\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}{n}^{2}{d}^{2}}\]
Divide both sides by \(h\).
\[sv{a}^{2}lufx=\frac{\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}{n}^{2}{d}^{2}}}{h}\]
Simplify  \(\frac{\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}{n}^{2}{d}^{2}}}{h}\)  to  \(\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}{n}^{2}{d}^{2}h}\).
\[sv{a}^{2}lufx=\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}{n}^{2}{d}^{2}h}\]
Divide both sides by \(v\).
\[s{a}^{2}lufx=\frac{\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}{n}^{2}{d}^{2}h}}{v}\]
Simplify  \(\frac{\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}{n}^{2}{d}^{2}h}}{v}\)  to  \(\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}{n}^{2}{d}^{2}hv}\).
\[s{a}^{2}lufx=\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}{n}^{2}{d}^{2}hv}\]
Divide both sides by \({a}^{2}\).
\[slufx=\frac{\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}{n}^{2}{d}^{2}hv}}{{a}^{2}}\]
Simplify  \(\frac{\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}{n}^{2}{d}^{2}hv}}{{a}^{2}}\)  to  \(\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}{n}^{2}{d}^{2}hv{a}^{2}}\).
\[slufx=\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}{n}^{2}{d}^{2}hv{a}^{2}}\]
Divide both sides by \(l\).
\[sufx=\frac{\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}{n}^{2}{d}^{2}hv{a}^{2}}}{l}\]
Simplify  \(\frac{\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}{n}^{2}{d}^{2}hv{a}^{2}}}{l}\)  to  \(\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}{n}^{2}{d}^{2}hv{a}^{2}l}\).
\[sufx=\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}{n}^{2}{d}^{2}hv{a}^{2}l}\]
Divide both sides by \(u\).
\[sfx=\frac{\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}{n}^{2}{d}^{2}hv{a}^{2}l}}{u}\]
Simplify  \(\frac{\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}{n}^{2}{d}^{2}hv{a}^{2}l}}{u}\)  to  \(\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}{n}^{2}{d}^{2}hv{a}^{2}lu}\).
\[sfx=\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}{n}^{2}{d}^{2}hv{a}^{2}lu}\]
Divide both sides by \(f\).
\[sx=\frac{\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}{n}^{2}{d}^{2}hv{a}^{2}lu}}{f}\]
Simplify  \(\frac{\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}{n}^{2}{d}^{2}hv{a}^{2}lu}}{f}\)  to  \(\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}{n}^{2}{d}^{2}hv{a}^{2}luf}\).
\[sx=\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}{n}^{2}{d}^{2}hv{a}^{2}luf}\]
Divide both sides by \(x\).
\[s=\frac{\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}{n}^{2}{d}^{2}hv{a}^{2}luf}}{x}\]
Simplify  \(\frac{\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}{n}^{2}{d}^{2}hv{a}^{2}luf}}{x}\)  to  \(\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}{n}^{2}{d}^{2}hv{a}^{2}lufx}\).
\[s=\frac{3+y}{Qu{e}^{3}nFi\imath {t}^{2}{o}^{2}{n}^{2}{d}^{2}hv{a}^{2}lufx}\]