what is the value of x in the equation $\frac{1}{5}x-\frac{2}{3}y = 30$, when $y = 15$?\n4\n8\n80\n200

Explanation:

Step1: Substitute y value

Substitute (y = 15) into the equation (\frac{1}{5}x-\frac{2}{3}y = 30), we get (\frac{1}{5}x-\frac{2}{3}\times15=30).

Step2: Simplify the equation

First, calculate (\frac{2}{3}\times15 = 10). The equation becomes (\frac{1}{5}x-10 = 30).

Step3: Isolate the term with x

Add 10 to both sides of the equation: (\frac{1}{5}x-10 + 10=30 + 10), which simplifies to (\frac{1}{5}x=40).

Step4: Solve for x

Multiply both sides of the equation by 5 to get (x = 40\times5).

Answer:

200