Math  /  Algebra

QuestionSolve the equation. j5=3.4j=\begin{array}{l} j-5=3.4 \\ j=\square \end{array}

Studdy Solution

STEP 1

What is this asking? We need to find the value of jj that makes the equation j5=3.4j - 5 = 3.4 true. Watch out! Don't forget that we're dealing with decimals, so be careful with your arithmetic!

STEP 2

1. Isolate jj
2. Calculate jj

STEP 3

We have j5=3.4j - 5 = 3.4.
Our goal is to get jj all by itself on one side of the equals sign.
Think of it like a seesaw – we need to keep it balanced!

STEP 4

Right now, 5 is being subtracted from jj.
To undo this, we'll add 5 to both sides of the equation.
Remember the seesaw?
If we add something to one side, we have to add the same thing to the other side to keep it balanced! j5+5=3.4+5j - 5 + 5 = 3.4 + 5

STEP 5

On the left side, 5+5-5 + 5 adds to zero, leaving just jj.
On the right side, 3.4+5=8.43.4 + 5 = 8.4.
So, our equation becomes: j=8.4j = 8.4

STEP 6

We've already found the value of jj in the previous step!
By isolating jj, we directly calculated its value.
So, j=8.4j = \mathbf{8.4}.

STEP 7

j=8.4j = 8.4

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