Answer:
(-6,1) (2,7)
Explanation:
y =x+5
y = x^2 +5x-7
Set the two equations equal since y=y
x+5 = x^2 +5x -7
Subtract x from each side
x-x+5 = x^2 +5x-x -7
5 = x^2 +4x -7
Subtract 5 from each side
5-5 = x^2 +4x -7-5
0 = x^2 +4x-12
Now we can factor the right side
What 2 numbers multiply to -12 and add to +4
6*-2 =-12
6-2 =4
0 = (x+6) (x-2)
Using the zero product property
x+6=0 x-2=0
x=-6 x=2
We need to find y for each value of x
y = x+5 y = x+5
y = -6+5 y = 2+5
y =1 y = 7