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

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

Explanation:

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