2y-3:3=y-1:2
You asked:
Solve \(2 y - 3 : 3=y - 1 : 2\) for the variable \(y\).
MathBot Answer:
$$\begin{aligned}y &= 3\end{aligned}$$
Express both ratios as fractions. \[\frac{2 y - 3}{3} = \frac{y - 1}{2}\]
Cross-multiply and solve for the unknown. $$\begin{aligned}\frac{2 y - 3}{3} &= \frac{y - 1}{2} \\ 4 y - 6 &= 3 y - 3 \\ y &&= 3 \end{aligned}$$