Answer:
The two intersections would be (2, 7) and (-6, -1)
Step-by-step explanation:
To solve this system of equations, set the two equations equal to each other and solve for x.
x + 5 = x^2 + 5x - 7
x = x^2 + 5x - 12
0 = x^2 + 4x - 12
0 = (x - 2)(x + 6)
Now set the parenthesis equal to zero to get the x values.
x - 2 = 0
x = 2
x + 6 = 0
x = -6
Now we know the x values of each interception. We can find the y values by plugging into either equation.
y = x + 5
y = 2 + 5
y = 7
y = x + 5
y = -6 + 5
y = -1
