X= -2
Y= -1
Z= 1
You may use solve this problem by substituting the values as well. If everything goes wrong , go for Cramer’s rule
Answer:
and
.
Step-by-step explanation:
So I believe the problem is this:

where we are asked to find values for
and
such that the equation holds for any
in the equation's domain.
So I'm actually going to get rid of any domain restrictions by multiplying both sides by (x-3)(x+7).
In other words this will clear the fractions.


As you can see there was some cancellation.
I'm going to plug in -7 for x because x+7 becomes 0 then.




Divide both sides by -10:


Now we have:
with 
I notice that x-3 is 0 when x=3. So I'm going to replace x with 3.




Divide both sides by 10:


So
and
.
Answer:
equal
Step-by-step explanation:
Bag 1 has 3 red cubes and 1 blue cube. = 4 cubes
Bag 2 has 3 green cubes, 1 yellow cube, and 1 red cube.= 5 cubes
P ( red bag 1) = red /total = 3/4
P (yellow bag 2) = yellow /total = 1/5
P(red bag1 , yellow bag2) = 3/4* 1/5 = 3/20
P ( blue bag 1) =blue /total =1/4
P (green bag 2) = green /total = 3/5
P(blue bag1 , green bag2) = 1/4* 3/5 = 3/20
The probabilities are equal
Step-by-step explanation:
We have

Let's factor the denomiator first,
the denomaitor is a perfect square so we get

Now, we must think of two fractions that

We use a perfect square term for one fraction, then a linear one for the next, because if we set both of the denomiator to the same factor, we would get a inconsistent system.
So right now, we have





so that means that a is



So our equation is
