Answer:
No real solutions.
Step-by-step explanation:
I'm going to subtract the second expression for y and plug it into the first equation.
So solving x=y+8 for y by subtracting 8 on both sides gives us y=x-8.
I'm going to insert this for the first y like so:
Now I'm going to move everything to one side.
I'm going to subtract x on both sides and add 8 on both sides.
Simplifying:
Now our job since the coefficient of x^2 is 1 is to find two numbers that multiply to be 4 and at the same time add up to be -3. I can't think of any such numbers.
Let's check the discriminant.
Compare to
.
So .
The discriminant is .
So plugging in our numbers we get .
Time to simplify:
So since the discriminant is negative, then the solutions will not be real.