Rearrange the equation so xis the independent variable.

or

Step-by-step explanation:

How we want the right side of the equation to look is entirely up to us, but the key to this problem is in getting y by itself. We basically want to turn this equation into a machine where we can punch in any value of x we want (it's independent because we have the freedom to choose (is free choice a thing? I'll leave that question to the philosophers)) and get out some value of y (the dependent variable, because it pops out from - or depends on - our choice of x).

So, we'll need to unwrap y from any operations connecting it to other numbers. In the equation , y is connect to 6 by addition, so we can unwrap that addition with subtraction, making sure we subtract 6 from both sides to keep the equation balanced. This gives us

, which is perfect fine (and an incredibly useful form when you get to the topic of function transformations), but if we pick a value for x, we need to perform three different operations:

We can do better. If we simplify the right side, we can make our machine more efficient:

Now if we pick a value for x, we'll only need to

So if we pick x = 6, for instance: , and that's just a little bit nicer.

don't know sorry bru

step-by-step explanation:

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