Answer: [tex]x=200[/tex]
Step-by-step explanation:
You have the following equation:
[tex]\frac{1}{5}x -\frac{2}{3} y = 30[/tex]
In order to find the the value of the variable "x" when [tex]y=15[/tex], you need to substitute this value of "y" into the equation and then you must solve for "x".
Applying this procedure, you get:
[tex]\frac{1}{5}x -\frac{2}{3} y = 30\\\\\frac{1}{5}x -\frac{2}{3} (15) = 30\\\\\frac{1}{5}x -\frac{30}{3} = 30\\\\\frac{1}{5}x -10 = 3\\\\\frac{1}{5}x=30+10\\\\x=5(40)\\\\x=200[/tex]
