5x-y=19
2x+2y
You asked:
Given \(5 x - y = 19\) evaluate the expression \(2 x + 2 y\).
MathBot Answer:
\[2 x + 2 y = \frac{12 y}{5} + \frac{38}{5}\]
\[5 x - y = 19\]Solve for $x$: \[x = \frac{y}{5} + \frac{19}{5}\]Substitute $x$ into the given expression: $$\begin{aligned}2 x + 2 y &= 2 y + 2 \left(\frac{y}{5} + \frac{19}{5}\right) \\ 2 x + 2 y &= \frac{12 y}{5} + \frac{38}{5}\end{aligned}$$