Question

Solve the system of equations.y= x2 - 3x + 6y = 2x + 6

Answer 1

We have the following:

`\begin{gathered} y=x^2-3x+6 \\ y=2x+6 \end{gathered}`

We subtract the equations:

`\begin{gathered} y-y=x^2-3x+6-2x-6 \\ 0=x^2-5x \\ 0=x(x-5) \\ x=0;x=5 \end{gathered}`

for y:

`\begin{gathered} y=2\cdot0+6 \\ y=6 \\ y=2\cdot5+6 \\ y=16 \end{gathered}`

therefore, the answer is:

(0,6) and (5,16), the option D.