Answer:
Step-by-step explanation:
1.
Equation one:
x = -5, x = -1 (Both are real)
Equation two:
No real solutions
Equation three:
x = -3 (Real)
Equation four:
No real solutions
2.
The easiest way to figure out if an equation has real solutions is to factor it. If it is factorable, then it has real solutions. If it isn't, then it doesn't have real solutions.
Sure, here is how I broke it down. The bird is flying a constant X miles per hour with a wind speed of Y miles per hour. So, there are two equations that you use to solve. Here they are:
X+Y=12
X-Y=4
Now, you have to use substitution or elimination to solve (I will use elimination). To use elimination, you simply add both equations together to get:
2X=16
Solve for X by dividing by 2.
X=8. We already established that X is the speed of the bird. Plug X back into either of the equations to find the windspeed.
(8)+Y=12
Subtract 8 from both sides.
Y=4. We already established that Y is the windspeed.
So, the speed of the bird (X) is 8mph and the speed of the wind (Y) is 4mph.
Hope this helped!!
