Q:

Which step could be used to help isolate the variable in the following equation? 5.6j – 0.12 = 4 + 1.1j

Accepted Solution

A:
For the expression 5.6j - 0.12 = 4 + 1.1j, the value of variable j is 0.92.What is the property of equality?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..