Math  /  Algebra

Questiony12=89y12+=89+12y=\begin{aligned} y-12 & =89 \\ y-12+\square & =89+12 \\ y & =\square\end{aligned}

Studdy Solution

STEP 1

What is this asking? We're given an equation y12=89y - 12 = 89 and we need to find the value of yy.
Basically, what number, when you subtract 12 from it, gives you 89? Watch out! Don't accidentally subtract 12 from 89!
We need to *add* 12 to both sides to isolate yy.

STEP 2

1. Isolate the variable
2. Calculate the result

STEP 3

We have y12=89y - 12 = 89.
Our goal is to get yy all by itself!

STEP 4

To get yy by itself, we need to get rid of that 12-12.
How do we do that?
By adding its *opposite*, which is +12+12, to both sides of the equation!
Remember, what we do to one side, we *must* do to the other to keep things balanced.
This is like a see-saw; if you add weight to one side, you gotta add the same weight to the other side to keep it level.

STEP 5

y=101\begin{aligned} y &= 101 \end{aligned} Adding 1212 to 12-12 gives us 00.
So, we're left with y=101y = 101.

STEP 6

We've found that y=101y = 101.
Let's plug it back into the original equation to double-check!

STEP 7

10112=89101 - 12 = 89 Boom! It works!

STEP 8

The solution to the equation y12=89y - 12 = 89 is y=101y = \mathbf{101}.
So, the missing values in the original problem are 1212 and 101101.

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