Odpowiedź:
[tex]\huge\boxed{\boxed{a)=-1,2}}[/tex]
[tex]\huge\boxed{\boxed{b)=-17,8}}[/tex]
[tex]\huge\boxed{\boxed{c)=5}}[/tex]
[tex]\huge\boxed{\boxed{d)=-4}}[/tex]
Szczegółowe wyjaśnienie:
Podpunkt a)
[tex]a=-\frac{1}{5}, \ b=0,2\\\\3(5a+3b)-(10a+10b)=15a+9b-10a-10b=\\\\=5a-b=5\cdot(-\frac{1}{5})-0,2=-1-0,2=-1,2[/tex]
Podpunkt b)
[tex]x=-1, \ y=-0,1\\\\2-10(2y-x)+2(-y+4x)=2-20y+10x-2y+8x=\\\\=18x-22y-2=18\cdot(-1)-22\cdot(-0,1)-2=-18+2,2-2=-20+2,2=-17,8[/tex]
Podpunkt c)
[tex]x=2, \ y=\frac{1}{4}\\\\-2(-3x-y)-3x(1+y)=6x+2y-3x-3xy=\\\\=-3xy+3x+2y=-3\cdot2\cdot\frac{1}{4}+3\cdot2+2\cdot\frac{1}{4}=\\\\=-6\cdot\frac{1}{4}+6+\frac{1}{2}=-1,5+6,5=5[/tex]
Podpunkt d)
[tex]x=-1, \ y=-\frac{1}{3}\\\\-(6-3y)-(x-2y)-2(x+y)=-6+3y-x+2y-2x-2y=\\\\=-3x+3y-6=-3\cdot(-1)+3\cdot(-\frac{1}{3})-6=3-1-6=2-6=-4[/tex]
