1.6
а)yx-2y=4x-5
yx-4x=2y-5
x(y-4)=2y-5
x=(2y-5)/(y-4)
б)y-yx=2=2x
yx+2x=2x=2
x*y+2)=y-2
x=(y-2)/(y+2)
в)yx+3y=7
yx=7-3y
x=(7-3y)/y
г)3y-yx=2
yx=3y-2
x=(3y-2)/y
1.7а
1)10/(5-b)(5+b)-1/(5+b)=(10-5+b+5+b)/(5-b)(5+b)=(2b+10)/(5-b)(5+b)=
=2(b+5)/(5-b)(5+b)=2/(5-b)
2)2/(5-b)*(5-b)²=2(5-b)
1.7б
1)2/(m-2)-8/(m-2)(m+2)-1/(m+2)=(2m+4-8-m+2)/(m-2)(m+2)=
=(m-2)/(m-2)(m+2)=1/(m+2)
2)1/(m+2)*(m+2)²=m+2
1.7в
1)4/(a+1)+2a/(a-1)(a+1)-1/(a-1)=(4a-4+2a-a-1)/(a-1)(a+1)=
=(5a-5)/(a-1)(a+1)=5(a-1)/(a-1)(a+1)=5/(a+1)
2)5/(a+1)*(a+1)²=5(a+1)
1.7г
1)2/(3-x)-4x/((3-x)(3+x)-1/(3+x)=(6+2x-4x-3+x)/(3-x)(3+x)=
=(3-x)/(3-x)(3+x)=1/(3+x)
2)1/(3=x)*(3+x)²=3+x
1.8а
1)(m+1)/2(m-1)-1/(m-1)=(m+1-2)/2(m-1)=1/2
2)2/(m²-4):1/2=2/(m²-4)*2=4/(m²-4)
3)2m(m²-4)-4/(m²-4)=(2m-4)/(m²-4)=2(m-2)/(m-2)(m+2)=2/(m+2)
1.8б
1)1/(b-1)-1/b(b-1)=(b-1)/b(b-1)=1/b
2)1/b*b/(b+2)=1/(b+2)
3)1/(b+2)-2b/(b+2)(b-2)=(b-2-2b)/(b-2)(b+2)=(-b-2)/(b-2)(b+2)=
=-(b+2)/(b-2)(b+2)=-1/(b-2)=1/(2-b)