Question

a+b=a×b=a÷b
find the values of a and b
​

Answer 1

Answer:

which means a and b are not equal to 1 because everything multiplied by one equals to itself while a number added by 1 doesn't)

ab=a/b

ab^{2} =aab

2

=a

\begin{gathered}ab^{2}=a \\ab^{2}-a=0\\a (b^{2}-1 )=0\\\end{gathered}

ab

2

=a

ab

2

−a=0

a(b

2

−1)=0

a=0 or b= ± 1

since b≠1 ; b= -1

a=0 --> a+b=ab; therefore b=0 for this function

a+b=a/b

1. For (a,b) = (0,0)

0+0≠0/0 because 0/0 is undefined, therefore it is not true

2. For b=-1

\begin{gathered}a+b=\frac{a}{b}\\a-1=\frac{a}{-1} \\a-1=-a\\2a=1\\a=\frac{1}{2}\end{gathered}

a+b=

b

a

a−1=

−1

a

a−1=−a

2a=1

a=

2

1

therefore (a,b) = (1/2,-1)

apply to a+b=ab

1/2 - 1 = 1/2 x -1 = -1/2 (the equation if correct)

a-b= 1/2-1 = -1/2

Step-by-step explanation:

Thanks!