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

$\begin{gathered} 2=2x+3x \\ 2=5x \\ x=\frac{2}{5} \end{gathered}$

Then, we find y

$\begin{gathered} y=2x \\ y=2\cdot\frac{2}{5}=\frac{4}{5} \end{gathered}$

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