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

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 $x = 40\times5=200$.

Answer:

200