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

Option (a) is correct.

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

Step-by-step 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

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step-by-step explanation:

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b