1.
Wyznaczamy x:
[tex]x+y=3\qquad/-y\\\\\bold{x=3-y}[/tex]
Wyznaczamy y:
[tex]x+y=3\qquad/-x\\\\\bold{y=3-x}[/tex]
2.
Wyznaczamy x:
[tex]x-y=6\qquad/+y\\\\\bold{x=6+y}[/tex]
Wyznaczamy y:
[tex]x-y=6\qquad/-x\\\\-y=6-x\qquad/:(-1)\\\\\bold{y=-6+x}[/tex]
3.
Wyznaczamy x:
[tex]2x+4y=2\qquad/-4y\\\\2x=2-4y\qquad/:2\\\\\bold{x=1-2y}[/tex]
Wyznaczamy y:
[tex]2x+4y=2\qquad/-2x\\\\4y=2-2x\qquad/:4\\\\\bold{y=\frac12-\frac12x}[/tex]
4.
Wyznaczamy x:
[tex]3x+6y=18\qquad/-6y\\\\3x=18-6y\qquad/:3\\\\\bold{x=6-2y}[/tex]
Wyznaczamy y:
[tex]3x+6y=18\qquad/-3x\\\\6y=18-3x\qquad/:6\\\\\bold{y=3-\frac12x}[/tex]
5.
Wyznaczamy x:
[tex]\frac23x+4y=8\qquad/-4y\\\\\frac23x=8-4y\qquad/\cdot3\\\\2x=24-12y\qquad/:2\\\\\bold{x=12-6y}[/tex]
Wyznaczamy y:
[tex]\frac23x+4y=8\qquad/-\frac23x\\\\4y=8-\frac23x\qquad/:4\\\\y=2-\frac2{12}x\\\\\bold{y=2-\frac1{6}x}[/tex]
6.
Wyznaczamy x:
[tex]\frac34x+\frac12y=10\qquad/-\frac12y\\\\\frac34x=10-\frac12y\qquad/\cdot4\\\\ 3x=40-2y\qquad/:3\\\\ \bold{x=13\frac13-\frac23y}[/tex]
Wyznaczamy y:
[tex]\frac34x+\frac12y=10\qquad/-\frac34x\\\\\frac12y=10-\frac34x\qquad/\cdot2 \\\\\bold{y=20-1\frac12x}[/tex]
