Question 50689
<pre><font size = 5><b>1.

      9/3 + 3a/4 = 13/3

The LCD of the denominators 3, 4, and 3 is 12. So
multiply every term by <font color = "red">12·</font>

<font color = "red">12·</font>9/3 + <font color = "red">12·</font>3a/4 = <font color = "red">12·</font>13/3

         36 + 9a = 52

Solve that and get a = 16/9

2.

         5x - 2/3 = 8 - 3x/5

The LCD of the denominators 3 and 5 is 15. So
multiply every term by <font color = "red">15·</font>

   <font color = "red">15·</font>5x - <font color = "red">15·</font>2/3 = <font color = "red">15·</font>8 - <font color = "red">15·</font>3x/5

         75x - 10 = 120 - 9x

Solve that and get x = 65/42


3.

         b - 2/b + 4 = b + 1/b + 10

The LCD of the denominators b and b is b. So
multiply every term by <font color = "red">b·</font>

   <font color = "red">b·</font>b - <font color = "red">b·</font>2/b + <font color = "red">b·</font>4 = <font color = "red">b·</font>b + <font color = "red">b·</font>1/b + <font color = "red">b·</font>10

         b² - 2 + 4b = b² + 1 + 10b

Solve that and get b = -1/2

4.

         5y - 1/2 - 3y + 5 = 7y + 13/6

I'll let you do that one by yourself. Answer = 7/15

Edwin</pre>

</pre>