[MOVED] points of intersection of y = x^2 - 5x + 3, 2y = 4x

[sammi32591]

We get a take home exam and the teacher said we were allowed to use all resources so this is my source. I have no idea how to find points of intersection of these two equations:

y = x^2 - 5x + 3
2y = 4x + 4

Does anyone know how to find it? Please help me! Thank you!

 

[skeeter]

y = x² - 5x + 3
2y = 4x + 4

divide every term in the 2nd equation by 2, you get the simplified equation
y = 2x + 2

since y = 2x + 2 and y = x² - 5x + 3, then ...

x² - 5x + 3 = 2x + 2

solve for x, then use y = 2x + 2 to find y.

you're on your own from here.