a+b=a-b , ab=a/b , then what is a and b ?

Answer 1

There is no ordered pair {a,b} which solves both equations

if a+b = a-b , then 2b = 0 or b = 0 and a is anything

But the second equation is not defined for b=0, no matter what a is (specifically, a/b is not defined for b=0)

Answer 2

a + b = a - b
ab = a/b

We can transpose everything to the left, and multiply the LCD when possible
2b = 0
ab² - a = 0

We see that
b = 0
a(b² - 1) = 0

We substitute b to the second equation
a(0 - 1) = 0

Therefore,
a = 0

But
ab = a/b,
0·0 = 0/0

As you can see, division by zero is undefined, so there is no solution...

^_^

Answer 3

a + b = a - b
b = 0
a = any number

ab = a/b
ab² = a
ab² - a = 0
a(b² - 1) = 0
a = 0 or b = ±1

So combining both solutions
a = 0, b = 0

Answer 4

a=0 b=0

a+b=10 points!

Answer 5

variable

Answer 6

ZERO???