x/2=y/3 3x+y/2x-y

asked by guest
on Mar 27, 2025 at 10:23 am



MathBot Answer:

3xy+y2x=y+343 x - y + \frac{y}{2 x} = y + \frac{3}{4}


x2=y3\frac{x}{2} = \frac{y}{3}Solve for xx: x=2y3x = \frac{2 y}{3}Substitute xx into the given expression: 3xy+y2x=y+y22y3+32y33xy+y2x=y+34\begin{aligned}3 x - y + \frac{y}{2 x} &= - y + \frac{y}{2 \cdot \frac{2 y}{3}} + \frac{3 \cdot 2 y}{3} \\ 3 x - y + \frac{y}{2 x} &= y + \frac{3}{4}\end{aligned}