Question

(a+b)+(a+b)i=a+5i
please give me the correct answers​

Answer 1

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.