Question

How do I solve this?

Answer 1

Answer:

(-6,1)   (2,7)

Step-by-step 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