Question

2/3x - 9= 3/4
Find x

1/5x + 8= 3/4

Find x

Answer 1

`(2)/(3)x-9=(3)/(4)\ \ \ \ |multiply\ both\ sides\ by\ LCM(3;4)=12\\\\12\cdot(2)/(3)x-12\cdot9=12\cdot(3)/(4)\\\\4\cdot2x-108=3\cdot3\\\\8x-108=9\ \ \ \ |add\ 108\ to\ both\ sides\\\\8x=117\ \ \ \ |diviede\ both\ sides\ by\ 8\\\\x=(117)/(8)\\\\\boxed{x=14(5)/(8)}`




`(1)/(5)x+8=(3)/(4)\ \ |other\ method\ like\ first\ . . . . |subtract\ 8\ from\ both\ sides\\\\(1)/(5)x=(3)/(4)-8\\\\(1)/(5)x=(3)/(4)-(4\cdot8)/(4)\\\\(1)/(5)x=(3)/(4)-(32)/(4)\\\\(1)/(5)x=-(29)/(4)\ \ \ \ |divide\ both\ sides\ by\ (1)/(5)\to(multiply\ both\ sides\ by\ 5)\\\\x=-(29)/(4)\cdot(5)/(1)\\\\x=-(145)/(4)\\\\\boxed{x=-36(1)/(4)}`