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

j = - 0.45

Explanation:

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

Step 1: Simplify both sides of the equation.

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

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

(-11j+1.5j) + (2.25+-7.75) = 0.5j-1 (Combine Like Terms)

-9.5j+-5.5=0.5j-1

-9.5j-5.5=0.5j-1

Step 2: Subtract 0.5j from both sides.

-9.5j-5.5-0.5j=0.5j-1-0.5j

-10j-5.5=-1

Step 3: Add 5.5 to both sides.

-10j-5.5+5.5=-1+5.5

-10j=4.5

Step 4: Divide both sides by - 10.

-10j/-10 = 4.5/-10

j = - 0.45

Answer: j = - 0.45

Step-by-step explanation:

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

We can group similar terms:

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

-10j = 4.5

j = 4.5/-10

j = - 0.45

Answer: j = - 0.45

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