Question

Solve the linear equation 2.25 – 11j – 7.75 + 1.5j = 0.5j – 1.

j = –0.45
j = –0.25
j = 0.25
j = 0.45

Answer 1

the correct answer is:
j= -0.45

Answer 2

Option (a) is correct.

2.25 – 11j – 7.75 + 1.5j = 0.5j – 1 simplifies to j = -0.45

Explanation:

Given : The linear equation 2.25 – 11j – 7.75 + 1.5j = 0.5j – 1.

We have to solve the given linear equation.

Consider the given linear equation 2.25 – 11j – 7.75 + 1.5j = 0.5j – 1.

Subtract 0.5j both side, we have,

2.25 – 11j – 7.75 + 1.5j - 0.5j = 0.5j – 1 - 0.5j

Simplify, we have,

2.25 – 11j – 7.75 + 1.5j - 0.5j = -1

Adding like terms, we have,

-5.5 -10j = -1

Adding 5.5 both side, we have,

-10j = -1 + 5.5

-10j = 4.5

Divide both side by -10, we have,

j = -0.45

Thus, 2.25 – 11j – 7.75 + 1.5j = 0.5j – 1 simplifies to j = -0.45