Question

Solve the linear equation.

2.25 - 11j - 7.75 + 1.5j = 0.5j - 1
A. j = -0.45
B. j = -0.25
C. j = 0.25
D. j = 0.45

Answer 1

Solve the linear equation
`2.25 - 11 - 7.75 + 1.5j= 0.5j - 1`

✔
`j` = –0.45

`j` = –0.25

`j` = 0.25

`j` = 0.45

Simplify
`2.25 - 11j - 7.75 + 1.5j` .

Subtract
`7.75` from
`2.25` .

`- 11j - 5.5 + 1.5j = 0.5j -1`

Add
`-11j` and
`1.5j` .

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

Move all terms containing
`j` to the left side of the equation.

Subtract
`0.5j` from both sides of the equation.

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

Subtract
`0.5j` from
`- 9.5j`.

`- 10j - 5.5 = - 1`

Move all terms not containing
`j` to the right side of the equation.

Add
`5.5` to both sides of the equation.

`-10j = -1 +5.5`

Add
`-1` and
`5.5` .

`10j=4.5`

Divide each term in
`-10`
`j`
`=4.5` by
`-10` and simplify.

Divide each term in
`-10j = 4.5` by
`-10`.

`(-10j)/(-10) = (4.5)/(-10)`

Simplify the left side.

Cancel the common factor of
`-10`.

`j= (4.5)/(-10)`

Cancel the common factor.

`(-10j )/(-10) = (4.5)/(-10)`

Divide
`j` by
`1`

`j=(4.5)/(-10)`

Simplify the right side.

Divide
`4.5` by
`-10`.

`j=-4.5`

The Final Answer is

`j=-4.5`

Answer 2

A. The end equation is -10j=4.5 so you would need a negative answer to make the negative ten a positive and matching 4.5