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3. can i find and interpret solutions to simultaneous equations in...

# 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 = x2 + 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 = x2 + 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) *

###### Solution by an expert tutor 