# Question: can i find and interpret solutions to simultaneous equations in...

###### Question details

*“Can I find and interpret solutions to simultaneous equations in the cases where the equations describe lines, parabolas and circles?”*

1. Find the solution(s) to the following sets of *simultaneous equations.* Interpret your answers geometrically.

a) –2x + 3y – 2 = 0 and y = x^{2} + 3x – 6

b) 4x – y + 5 = 0 and (x – 2)^{2} + (y – 3)^{2} = 8

*** I have started a) in my workbook but I'm not sure whether I'm on the right track. I've graphed out y = x^{2} + 3x – 6 (it's a parabola) on a graphing calculator and drew it into my workbook. I haven't solved either equation yet, I'm not sure if I'm even supposed to solve them. I haven't finished a) and haven't attempted b) because I don't know if I'm doing it right. ***

* A proper step by step on how to solve the equations would be appreciated (if they need to be solved) *