Math Snap

STEP 1

What is this asking?
Given the rule $y = x + 3$, we need to find the missing $x$ values in the table for the given $y$ values.
Watch out!
Don't mix up $x$ and $y$!
Remember, we're solving for $x$, not $y$.

STEP 2

1. Solve for x when y = 4
2. Solve for x when y = 8
3. Solve for x when y = 5

STEP 3

Alright, let's start with our given rule: $y = x + 3$.
We know that in this case, our y-value is 4.
Let's plug it in!

STEP 4

So, we have $4 = x + 3$.
Now, we want to isolate that mischievous $x$, so we'll subtract 3 from both sides of the equation.
Remember, what we do to one side, we must do to the other to keep things balanced!

STEP 5

$$4 - 3 = x + 3 - 3$$ $$1 = x$$ Boom! We found our first x-value: $x = 1$ when $y = 4$.

STEP 6

Back to our trusty rule: $y = x + 3$.
This time, our y-value is 8.
Let's substitute that in.

STEP 7

We get $8 = x + 3$.
To get x by itself, we'll subtract 3 from both sides.

STEP 8

$$8 - 3 = x + 3 - 3$$ $$5 = x$$ Awesome! Our second x-value is $x = 5$ when $y = 8$.

STEP 9

One more time with feeling!
Our rule is $y = x + 3$, and our y-value is 5.
Let's plug it in!

STEP 10

So, $5 = x + 3$.
We'll subtract 3 from both sides to isolate x.

STEP 11

$$5 - 3 = x + 3 - 3$$ $$2 = x$$ Fantastic! Our final x-value is $x = 2$ when $y = 5$.

When $y = 4$, $x = 1$.
When $y = 8$, $x = 5$.
When $y = 5$, $x = 2$.