_____j - 4.5j =3.8j
To solve the equation _____j - 4.5j = 3.8j, we need to combine like terms.
First, let's clarify the missing value represented by "_____." Let's assume it is a number, say x.
So now we have the equation xj - 4.5j = 3.8j.
To simplify this equation, we can combine the j terms on the left side of the equation.
xj - 4.5j can be rewritten as (x - 4.5)j, since both terms have a j.
Now our equation becomes (x - 4.5)j = 3.8j.
To isolate the variable x, we can divide both sides of the equation by j.
(x - 4.5)j/j = 3.8j/j.
On the left side, the j/j cancels out, leaving us with x - 4.5.
On the right side, 3.8j/j simplifies to just 3.8.
So now we have x - 4.5 = 3.8.
To solve for x, we can add 4.5 to both sides of the equation.
x - 4.5 + 4.5 = 3.8 + 4.5.
On the left side, the -4.5 and +4.5 cancel out, leaving us with x.
On the right side, 3.8 + 4.5 equals 8.3.
Therefore, x = 8.3.