Question

Which step could be used to help isolate the variable in the following equation?

5.6j – 0.12 = 4 + 1.1j

A.) Subtract 0.12 from both sides.
B.)Subtract 5.6 from both sides.
C.) Subtract 4j from both sides.
D.) Subtract 1.1j from both sides.

Answer 1

Answer:

Step-by-step explanation:

5.6j-0.12 = 4+1.1j

Step 1 :

Add 0.12 both sides

=> 5.6j -0.12 + 0.12 = 4 + 1.1j + 0.12

=> 5.6j  = 4.12 + 1.1j

Step 2:

Subtract 1.1j from bith sides

=> 5.6j - 1.1j = 4.12 + 1.1j - 1.1j

=> 4.5 j  = 4.12

Step 3 :

Dividing by 4.5 from both sides

=> 4.5 j / 4.5  = 4.12 / 4.5

=> j = 412/450

=> j = 206/225

Answer 2

The step D) Subtract 1.1j from both sides will be the correct step

Step-by-step explanation:

Given:

The equation is 5.6j – 0.12 = 4 + 1.1j

To find:

The correct step out of the options for the equation

Solution:

The correct steps to solve this equation while getting the value of j are as follows:

5.6j – 0.12 = 4 + 1.1j

To get the like terms together we add 0.12 to both the sides

5.6j – 0.12+0.12 = 4 + 1.1j+0.12

5.6j  = 4.12+ 1.1j

To isolate the variable j on the right side we subtract 1.1j on both the sides

5.6j - 1.1j = 4.12+ 1.1j - 1.1j

This way we get the variable j on the left side isolated

4.5j = 4.12

And later the value of j will come as

j= 4.12/4.5

∴ j = 0.9155

So the second step which includes subtracting 1.1j on both sides isolates the variable j.

Hence, step D.) Subtract 1.1j from both sides could be used to help isolate the variable in the given equation

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