Question 327717
{{{(x-1)/(x+2) = 5/7 }}}
we can cross multiply here
7(x-1) = 5(x+2)
:
7x - 7 = 5x + 10
:
7x - 5x = 10 + 7
:
2x = 17
x = {{{17/2}}}
x = 8.5
:
:
Check solution in original problem; {{{(x-1)/(x+2) = 5/7 }}}
replace x with 8.5
{{{(8.5-1)/(8.5+2) = 5/7 }}}
{{{(7.5)/(10.5) = 5/7 }}}
calculate to decimals
.714 = .714; confirms solution