Algebraicznie:
1.
[tex]\begin{cases}0.5x+0.75y=2\\0.25y=3+x\end{cases}\\\begin{cases}0.5x+0.75y=2\\x=0.25y-3\end{cases}\\0.5(0.25y-3)+0.75y=2\\0.125y-1.5+0.75y=2\\0.875y=3.5\\y=4\\x=0.25y-3\\x=0.25*4-3\\x=1-3\\x=-2\\\begin{cases}x=-2\\y=4\end{cases}[/tex]
2.
[tex]\begin{cases}\frac{1}{2}x-2y=5\\x-2=4+2y\end{cases}\\\begin{cases}\frac{1}{2}x-2y=5\\x=6+2y\end{cases}\\\frac{1}{2}(6+2y)-2y=5\\3+y-2y=5\\-y=2\\y=-2\\x=6+2y\\x=6+2(-2)\\x=6-4\\x=2\\\begin{cases}x=2\\y=-2\end{cases}[/tex]
Graficznie:
1.
[tex]0.5x+0.75y=2\\0.75y=-0.5x+2\\y=-\frac{2}{3}x+\frac{8}{3}[/tex]
[tex]0.25y=3+x\\y=4x+12[/tex]
2.
[tex]\frac{1}{2}x-2y=5\\-2y=-\frac{1}{2}+5\\y=\frac{1}{4}x-\frac{5}{2}[/tex]
[tex]x-2=4+2y\\2y=x-2-4\\y=\frac{1}{2}x-3[/tex]
(wykresy w załączniku)
