Answer
#1
[tex]\frac{2.5x+1}{3.5x-1} =\frac{1.6}{1.8} \\[/tex]
use cross multiplication
[tex]1.8(2.5x+1)=1.6(3.5x-1)\\4.5x+1.8=5.6x-1.6\\1.8+1.6=5.6x-4.5x\\3.4=1.1x\\\frac{3.4}{1.1} =\frac{1.1x}{1.1}\\3.09=x[/tex]
#2
[tex]\frac{6x+5}{2x-3}=\frac{3x-4}{x+8}\\[/tex]
Use cross multiplication
[tex](6x+5)(x+8)=(3x-4)(2x-3)\\6x^{2} +48x+5x+40=6x^{2} -9x-8x+12\\6x^{2} -6x^{2} +53x+40=-17x+12\\53x+17x=-40+12\\70x=-28\\\frac{70x}{70} =\frac{-28}{70} \\x=-0.4[/tex]
Hope this helps you
Let me know if you have any other questions :-)
