a)2a/9b =0,2(7)=(27-2)/90 =25/90=5/18 b=4a/5
r=(81+5b)/(91-5b)= (81+4a)/(91-4a)
b)(5a+4b)/(5a +7b) =2/3
15a+12b=10a+14b
5a=2b
b=5a/2
r =(b²-a²)/(2a² -3ab +b²)=(b-a)(b+a)/(a-b)(2a -b)=(b+a)/(b-2a)=
(5a/2+a)/(5a/2-2a)=(5a+2a)(5a-4a)=7a/a=7
c)x/0,25=y/0,(3)=z/0,5
4x=3y=2z y=4x/3 z=4x/2 z=2x
xy+xz +yz=3/4 xyz
x*4x/3+x*2x+4x/3*2x=3(x*4x/3*2x)/4
4x²/3+2x²+8x²/3=8x³/4
(4x²+6x²+8x²)/3=8x³/4
6x²=2x³
x=3
y=4*3/3=4
z=2*3=6