For the expression 5.6j - 0.12 = 4 + 1.1j, the value of variable j is 0.92.
The operations of addition, subtraction, multiplication, and division do not change the truth value of any equation is called the property of equality.
The given expression is 5.6j - 0.12 = 4 + 1.1j.
To solve the above expression, we will use the following steps.
Step 1:
By the subtraction property of equality, subtract 1.1j on both sides. We get the expression,
[tex]5.6j - 0.12 -1.1j = 4 + 1.1 j - 1.1 j[/tex]
[tex]4.5 j -0.12 = 4[/tex]
Step 2:
By the addition property of equality, add 0.12 on both sides. We get the expression,
[tex]4.5j -0.12 + 0.12 = 4 + 0.12[/tex]
[tex]4.5 j = 4.12[/tex]
Step 3:
By the division property of equality, divide the above expression by 4.5. We get the expression,
[tex]\dfrac {4.5j}{4.5 }= \dfrac {4.12}{4.5}[/tex]
[tex]j = \dfrac {4.12}{4.5}[/tex]
[tex]j = 0.92[/tex]
Hence we can conclude that the value of variable j is 0.92.
To know more about the property of equality, follow the link given below.
https://brainly.com/question/13130806.