Make x the subject of the formula: y=m(x+3)+2. What's the answer?

Question

Also, if anyone can give a general rule to simplify doing this would be very helpful.

Answer 1

This is easy you want the X by itsself so you need a common factor to leave the m by itself.
Step #1:(Expanding The Equation, Multiply m and what is in the brackets next to it) note that you can't multiply the M to the +2 so you get: Y = mx+3m+2
Step#2: (you want the x by itself so you go ahead and divide both sides by M (you are not changing the equation because m/m =1. So you get: [y/m] = [mx/m] + [3m/m] + [2/m] which takes you to
Step#3 (Simplify the equation): [y/m] = [x] + [3] +[2/m]
Step#4 (you now want to get the X by itself so the equation looks like "X=" so you now have
[y/m] -3 - 2/m = X (Because you are bringing the [+3] and the [+2/m] to the other side you must use the opposite sign. So the - becomes a + and vice versa.. "this is basically the answer but I would think your prof. wants you to arrange it neater than this..they usually want the X on the right hand side and even simplified more..on to step #5) "because y/m and -2/m have the same common denomiator we can further simplify it to [(y-2)/m]
you get"
X= [(y-2)/m]-3 as our answer...

I hope this helps.. Good luck
Mathematicaly without all the english explanations..
Y=M(X+3)+2

Y/M = (MX/M) + (3M/M) + 2/M

Y/M = X + 3 + (2/M)

Y/M - 3 - 2/M = X

X = Y/M - 2/m - 3

X = [(Y-2)/M] - 3

Answer 2

y=m(x+3)+2.
y - 2=m (x+3)
y -2 / m = x+3
(y -2 /m) - 3= x

Answer 3

In other words, you want to have the equation read x = f(y).

Step 1: Multiply out the parenthesis.
y = mx + 3m + 2

Step 2: Move everything but the term with x to the other side of the equation, by subtracting it from both sides.
y - 3m - 2 = mx + 3m + 2 - 3m - 2
y - 3m - 2 = mx

Step 3: Divide both sides by m
x = (y - 3m - 2)/m

The general rule to do this is to undo each operation on the side with the X, so that you've moved all the added constants and the multipliers to the other side of the equation.

Answer 4

y = m(x + 3) + 2
y - 2 = m (x + 3)
(y-2) / m = x + 3
( y - 2 ) / m - 3 = x
written in the conventional format
x = (y-2)/m - 3

The general rule is that bring 'x' on one side of the equation and all the rest to the other side. The technique is called "Separation of variables"

Answer 5

well u have to get x alone! that is the key..so do whatever manuevering u can to get x alone...and that will make it the subject. so, first multiply everything out of the parenthesis.

y = mx + 3m + 2

now, get all the x terms on one side, and all the rest on the other

y - 3m + 2 = mx

now, to get x alone, u gotta divide both sides by m!

(y-3m+2)/m = x

tada! :)

Answer 6

Subtract 2 from both sides:

y - 2= m(x+3)

Divide both sides by m:

(y-2)/m = x + 3

Subtract 3 from both sides:

(y-2)/m - 3 = x

Done!

Answer 7

y=m(x+3) + 2
y=mx + 3m + 2
mx = y - 3m -2
x = (y -3m-2) / m
which could be written
x=(y-2)/m -3
or
x=y/m -2/m -3

Answer 8

y-2=m(x+3)
y-2/m=x+3
x={(y-2)/m} -3