Question

(a-b) +(a+b)i=a+5i find a
and b​

Answer 1

Answer:

a=5 & b=0

Step-by-step explanation:

Please find the attached image.

Answer 2

Answer:

The value of a is 5 and the value of b is 0.

Step-by-step explanation:

Consider the provided equation.

$(a-b)+(a+b)i=a+5i$

The multiple of "i " is called the Imaginary part of the equation, whereas the rest of the part is real.

In the above equation the multiple of "i " is (a+b) and 5.

Now compare the real part of the equation with the real part and compare the imaginary part with imaginary.

$a-b=a$......(1) and $(a+b)i=5i$ ......(2)

Solve equation 1 as:

$a-b=a$

$a-b-a=a-a$

$b=0$

Now substitute the value of b in equation 2.

$(a+b)i=5i$

$a+b=5$

$a+0=5$

$a=5$

Hence, the value of a is 5 and the value of b is 0.