Question

Y=3x-4y=2/5x+9solve each system of lunar equations

Answer 1

we have the following:

`\begin{gathered} y=3x-4 \\ y=(2)/(5)x+9 \end{gathered}`

solving the system by means of substitution:

`\begin{gathered} 3x-4=(2)/(5)x+9 \\ 5\cdot3x-5\cdot4=5\cdot(2)/(5)x+5\cdot9 \\ 15x-20=2x+45 \\ 15x-2x=45+20 \\ 13x=65 \\ x=(65)/(13) \\ x=5 \end{gathered}`

now, for x

`y=3\cdot5-4=15-4=11`

The solution is (5, 11)