Question

What is the value of x in the equation xFormula1" title="\frac{1}{5}x -\frac{2}{3}" alt="\frac{1}{5}x -\frac{2}{3}" align="absmiddle" class="latex-formula"> y = 30, when y = 15?

Answer 1

Answer: $x=200$

Step-by-step explanation:

 You have the following equation:

$\frac{1}{5}x -\frac{2}{3} y = 30$

 In order to find the the value of the variable "x" when $y=15$, you need to substitute this value of "y" into the equation and then you must solve for  "x".

Applying this procedure, you get:

$\frac{1}{5}x -\frac{2}{3} y = 30\\\\\frac{1}{5}x -\frac{2}{3} (15) = 30\\\\\frac{1}{5}x -\frac{30}{3} = 30\\\\\frac{1}{5}x -10 = 3\\\\\frac{1}{5}x=30+10\\\\x=5(40)\\\\x=200$

Answer 2

Answer:

x= 200

Step-by-step explanation:

The given equation is:

1/5 x - 2/3 y = 30

The value of y is 15

Put the value of y in the given equation:

1/5 x - 2/3(15) = 30

1/5 x- 10 = 30

Take the L.C.M of the denominator

x-50/5 = 30

Move the denominator to the R.H.S

x-50 = 30*5

x-50 = 150

Combine the like terms

x= 150+50

x = 200

The value of x is 200...