Question

How many springs solutions exist for the following system of equations? y=-3x+2y=2x

Answer 1

To find the solutions, first, we make the equations equal as follows

`\begin{gathered} y=y \\ -3x+2=2x \end{gathered}`

Then, we solve for x

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

Then, we find y

`\begin{gathered} y=2x \\ y=2\cdot(2)/(5)=(4)/(5) \end{gathered}`

Hence, the solution to the system is (2/5, 4/5).