Zadatak 1299

Reši sistem linearnih jednačina:

a) \(\begin{matrix}
\frac{4x-1}{6} &-\frac{2(x-y)}{3}  & = &1\frac{1}{6} \\
\frac{3x-y+1}{4} &-\frac{1}{2} & = & 0
\end{matrix}\);

b) \(\begin{matrix}
2a &-\frac{5b}{2}  & = &2b-9 \\
3b &-\frac{a}{6} & = & a+9
\end{matrix}\);

c) \(\begin{matrix}
\frac{7x+2}{6} &-(y-3)  & = &4 \\
\frac{7y+3}{6} &-(x+2) & = & 1
\end{matrix}\);

d)\(\begin{matrix}
\frac{x+y}{2} &+\frac{x-y}{3}  & = &11 \\
\frac{x}{11} &-\frac{x-y}{9}  & = & 1
\end{matrix}\).

 

Rešenje: a) \((1,2)\); b) \((18,10)\); c) \((-2,-3)\); d) \((11,11)\).