x/2=y/3 3x+y/2x-y
asked by guest on Mar 27, 2025 at 10:23 am
MathBot Answer:
3x−y+y2x=y+343 x - y + \frac{y}{2 x} = y + \frac{3}{4}3x−y+2xy=y+43
x2=y3\frac{x}{2} = \frac{y}{3}2x=3ySolve for xxx: x=2y3x = \frac{2 y}{3}x=32ySubstitute xxx into the given expression: 3x−y+y2x=−y+y2⋅2y3+3⋅2y33x−y+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}3x−y+2xy3x−y+2xy=−y+2⋅32yy+33⋅2y=y+43