what is the value of x in the equation \\(\\frac{1}{5}x - \\frac{2}{3}y = 30\\), when \\(y =…

what is the value of x in the equation \\(\\frac{1}{5}x - \\frac{2}{3}y = 30\\), when \\(y = 15\\)?\n\\(\\bigcirc\\) 4\n\\(\\bigcirc\\) 8\n\\(\\bigcirc\\) 80\n\\(\\bigcirc\\) 200

what is the value of x in the equation \\(\\frac{1}{5}x - \\frac{2}{3}y = 30\\), when \\(y = 15\\)?\n\\(\\bigcirc\\) 4\n\\(\\bigcirc\\) 8\n\\(\\bigcirc\\) 80\n\\(\\bigcirc\\) 200

Answer

Explanation:

Step1: Substitute y = 15 into the equation

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

Step2: Simplify the equation

Calculate ( \frac{2}{3} \times 15 = 10 ), so the equation becomes ( \frac{1}{5}x - 10 = 30 ).

Step3: Solve for x

Add 10 to both sides: ( \frac{1}{5}x = 30 + 10 = 40 ). Then multiply both sides by 5: ( x = 40 \times 5 = 200 ).

Answer:

200