2(2x-y)+3(x+3y)=42 5(x+3y)-8(2x-y)=-32 uklad rownan

2(2x-y)+3(x+3y)=42 5(x+3y)-8(2x-y)=-32 4x-2y+3x+9y=42 5x+15y-16x+8y=-32 7x+7y=42 /:7 23y-11x=-32 x+y=6 23y-11x=-32 x=6-y 23y-11(6-y)=-32 x=6-y 23y-66+11y=-32 x=6-y 34y=-32+66 x=6-y 34y=34 /:34 x=6-y y=1 x=6-1 y=1 x=5 y=1

2(2x-y)+3(x+3y)=42 5(x+3y)-8(2x-y)=-32 4x-2y+3x+9y=42 5x+15y-16x+8y=-32 7x+7y=42 /:7 -11x+23y=-32 x+y=6 -11x+23y=-32 z pierwszego równania wyliczamy, że y=6-x, podstawiamy do drugiego otrzymując: -11x+23(6-x)=-32 -11x+138-23x=-32 -34x=-170 x=5 y=6-x=6-5=1

2(2x-y)+3(x+3y)=42 5(x+3y)-8(2x-y)=-32 4x-2y+3x+9y=42 5x+15y-16x+8y=-32 (obliczamy Y) 7x+7y=42|*11 -11x+23y=-32|*7 77x+77y=462 -77x+161y=-224 77y + 161y= 238 238y=238| :238 Y=1 (obliczamy X) 7x+7y=42|*23 -11x+23y=-32| *(-7) 161x+161y=966 77x - 161y=224 238x=1190|:238 X=5 X=5 Y=1