[tex]a) \\+\left \{ {{1=-3a+b} \atop {3=3a+b}} \right. \\1+3=b+b\\4=2b /:2\\2=b\\3=3a+2\\1=3a /:3\\\frac13=a\\\\y=\frac13x+2[/tex]
b)
[tex]\left \{ {{-2=a+b /*(-3)} \atop {-3=3a+b}} \right. \\+\left \{ {{6=-3a-3b} \atop {-3=3a+b}} \right. \\6-3=-3b+b\\3=-2b /:(-2)\\-\frac32=b\\-2=a-\frac32 /+\frac32\\-\frac42+\frac32=a\\-\frac12=a\\\\y=-\frac12x-\frac32\\y=\frac{-x-3}2\\y=\frac{-(x+3)}2\\y=-\frac{x+3}2[/tex]
c)
[tex]\left \{ {{-1=-2a+b} \atop {-3=-a+b /*(-2)}} \right. \\+\left \{ {{-1=-2a+b} \atop {6=2a-2b}} \right. \\-1+6=b-2b\\5=-b\\b=-5\\\\-1=-2a-5 /+5\\4=-2a /:(-2)\\-2=a\\\\y=-2x-5[/tex]
d)
[tex]\left \{ {{6=5a+b} \atop {6=8a+b}} \right. \\8a+b=5a+b\\3a=b-b\\3a=0\\a=0\\\\6=5*0+b\\6=b\\\\y=0x+6\\y=6[/tex]
e)
[tex]+\left \{ {{-2=-3a+b} \atop {-1=3a+b}} \right.\\-2-1=b+b\\-3=2b /:2\\-\frac32=b\\\\-1=3a-\frac32 /+\frac32\\-\frac22+\frac32=3a\\\frac12=3a /*\frac13\\\frac16=a\\\\y=\frac16x-\frac32\\y=\frac16x-\frac96\\y=\frac{x-9}6[/tex]
f)
[tex]\left \{ {{0=-2a+b} \atop {-3=0a+b}} \right. \\\left \{ {{2a=b} \atop {-3=b}} \right. \\\left \{ {{2a=-3 /:2} \atop {b=-3}} \right. \\\left \{ {{a=-\frac32} \atop {b=-3}} \right. \\y=-\frac32x-3\\y=-\frac32x-\frac62\\y=\frac{-3x-6}2\\y=\frac{-(3x+6)}2\\y=-\frac{3x+6}2[/tex]
