Question

Find the solution of this system of equations-5y=0-2x2x+3y=0

Answer 1

Solve for y both expressions and make them equal.

`\begin{gathered} -5y=-2x \\ y=(2)/(5)x \end{gathered}`
`\begin{gathered} 2x+3y=0 \\ 3y=-2x \\ y=-(2)/(3)x \end{gathered}`
`\begin{gathered} (2)/(5)x=-(2)/(3)x \\ (2)/(5)x+(2)/(3)x=0 \\ (16)/(15)x=0 \\ x=0 \end{gathered}`

Using this value of x, find y:

`\begin{gathered} y=(2)/(5)x \\ y=0 \end{gathered}`

The solution of this system is x=0 and y=0