What are the solutions to the system of equations?
y=x^2+5x+6,
y=3x+6

a. (0, 6) and (−2, 0)
b. (−3, 0) and (0, 6)
c. (−3, 0) and (−2, 0)
d. (0, −3) and (6, 0)

A. (0, 6) and (−2, 0)

Step-by-step explanation:

The given equations are:

and

We equate the two equations to find their point of intersection;

We equate everything to zero to get;

When x=0, y=3(0)+6=6

One solution is;

(0,6)

When x=-2,

y=3(-2)+6=0

Another solution is;

(-2,0)

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