Question

Solve by substitution
15x-20y=1
15y=-2+5x

Answer 1

\[y=\frac{-2+5x}{15}\]

Answer 2

\[15x-20(\frac{-2+5x}{15})=1\]
\[15x-4(\frac{-2+5x}{3})=1\]
\[15x+\frac{8-20x}{3}=1\]
\[45x+8-20x=3\]
\[25x=-5\]
\[x=\frac{-1}{5}\]

Answer 3

\[y=\frac{-2+5x}{15}\]
\[y=\frac{-2+5(\frac{-1}{5})}{15}=\frac{-2-1}{15}=\frac{-3}{15}=\frac{-1}{5}\]

Answer 4

\[(\frac{-1}{5},\frac{-1}{5})\]