Answer:
Equivalent systems of equations review
Step-by-step explanation:
We're given two systems of equations and asked if they're equivalent.
x + 4y = 8 (1)
4x + y = 2 (2)
Interestingly, if we sum the equations in System A, we get:


Replacing the first equation in System A with this new equation, we get a system that's equivalent to System A:


This is System B, which means that System A is equivalent to System B.
Statement #3: The product of two irrational numbers is not always irrational.
If you multiply √3 and 1/√3, both irrational numbers that are inverses of each other, you end up getting 1, which is rational.
X + y = 12
x - y = 4
-----------------add
2x = 16
x = 8
x - y = 4
8 - y = 4
y = 4
answer
two numbers: 8 and 4
doule check
sum = 8 + 4 = 12
difference = 8 - 4 = 4
For every
, we have

So, negletting the first term, each term of the sum is greater than 1, which implies

Which means that the series diverges.