Question

Which of the following equations is equivalent to 1/2x - 2/3y = 5?


x - 2y = 30
4x - 3y = 30
3x - 4y = 30

Answer 1

Answer:

$\large\boxed{3x-4y=30}$

Step-by-step explanation:

$\dfrac{1}{2}x-\dfrac{2}{3}y=5\qquad\text{multiply both sides by LCM(2, 3) = 6}\\\\6\!\!\!\!\diagup^3\cdot\dfrac{1}{2\!\!\!\!\diagup_1}x-6\!\!\!\!\diagup^2\cdot\dfrac{2}{3\!\!\!\!\diagup_1}y=6\cdot5\\\\(3)(x)-(2)(2y)=30\\\\3x-4y=30$