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

The solutions of the system of equations are and

Explanation:

Given that the system of equations are and

We need to determine the solution to the system of equations.

Let us determine the solution to the system of equations using substitution method.

Thus, we have,

Subtracting both sides of the equation by 6, we get,

Subtracting both sides of the equation by 3x, we have,

Simplifying, we get,

Thus, the values of x are and

Now, we shall determine the corresponding y - values.

Substituting in the equation , we get,

Similarly, substituting in the equation , we get,

Therefore, the solution to the system of equations are and

(0,6) & (-2,0)

Step-by-step explanation:

y = x² + 5x + 6

y = 3x + 6

x² + 5x + 6 = 3x + 6

x² + 2x = 0

x(x + 2) = 0

x = 0, -2

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

x = -2, y = 3(-2)+6 = 0

answer:

(-8,7)

explanation:

we know that  

f

(

−

3

)

=

7

therefore, if we wish to get the output as 7, in the function, we need to have our input to be -3.

looking at the function  

f

(

x

+

5

)

, what should the value of x be, such that the input in the function becomes 7?

we simply equate the terms,

x

+

5

=

−

3

x

=

−

8

thus, the point on the new function would be  

(

−

8

,

7

)