What are the solutions (coordinate points) to the system of equations?
y=x^2+5x+6 and y=3x+6

The solutions are

(0, 6)

(- 2, 0)

Step-by-step explanation:

The given system of equations is expressed as

y = x² + 5x + 6- - - - - - - - - - - - 1

y = 3x + 6- - - - - - - - - - - 2

We would apply the method of substitution by substituting equation 2 into equation 1. It becomes

x² + 5x + 6 = 3x + 6

x² + 5x - 3x + 6 - 6 = 0

x² + 2x = 0

x(x + 2) = 0

x = 0 or x + 2 = 0

x = 0 or x = - 2

Substituting x = 0 into equation 2, it becomes

y = 3 × 0 + 6

y = 6

Substituting x = - 2 into equation 2, it becomes

y = 3 × - 2 + 6

y = - 6 + 6

y = 0

8y^50

step-by-step explanation:

step-by-step explanation:

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