Question

y=10x^2-15x+5 & y=5x+5
find the point of intersection of the wo systems

Answer 1

At the point of intersection, one pair of coordinates satisfies both equations. Therefore, you can set them equal to each other (since the y-values are the same) and solve for x:

10x^2 -15x + 5 = 5x + 5
10x^2 - 20x = 0
x^2 - 2x = 0
x(x-2) = 0
x = 0, 2

Sub the points into one of the original equations to find the points of intersection.

y = 5(0) + 5 = 5
y = 5(2) +5 = 15

There are two points of intersection: (0,5) and (2,15).

Answer 2

thanks very much