Question

1/2x-5=22/3
6/8×+3/4=5
3x+17/12=8/3

Answer 1

1/2x-5=22/3
$\frac{x}{2} - 5 = \frac{22}{3}$
$\frac{x-10}{2} = \frac{22}{3}$
3(x-10) = 2 ( 22)
3x - 30 = 44
3x = 44+30
3x = 74
x = $\frac{74}{3}$

6/8×+3/4=5
$\frac{6x}{8} + \frac{3}{4} = 5$
$\frac{6x(4)+3(8)}{4(8)} =5$
$\frac{24x+24}{32} = 5$
24x+24 = 5 (32)
24x + 24 = 160
24x = 136
$x = \frac{136}{24}$
$x = \frac{68}{12}$
$x = \frac{34}{6}$
$x = \frac{17}{3}$

3x+17/12=8/3
$\frac{3x(12)+17}{12} = \frac{8}{3}$
$\frac{36x+17}{12} = \frac{8}{3}$
3(36x+17) = 12(8)
108x + 51 = 96
108x = 96 - 51
108x = 45
$x = \frac{45}{108}$