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January 10th, 2017, 08:30 PM   #1
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Any tips on steps to solve Y=MX+B?

Like I know the 3rd step where you have to triple divide each side.


2x + 3y = 18

What are the basic steps to solve it?

I know the define of what M is the slope and B is the Y Intercept.

The answer is y = -2/3x + 6.

What are the steps to solve it?

Last edited by skipjack; January 11th, 2017 at 05:08 AM.
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January 10th, 2017, 08:48 PM   #2
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$2x + 3y = 18$

$3y = -2x + 18$

$y =\dfrac{-2x + 18}{3} = -\dfrac 2 3 x + 6$
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January 10th, 2017, 08:49 PM   #3
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$2x+3y=18$

First, subtract $2x$ from both sides of the equation. So,

$2x+3y-2x=-2x+18$,

$3y=-2x+18$.

Next, divide both sides of the equation by 3,

$\displaystyle \frac{3y}{3}=\frac{-2x+18}{3}$.

On the right hand side of the equation you can use the distributive property to write it as

$\displaystyle \frac{3y}{3}=-\frac{2}{3}x+\frac{18}{3}$.

Now, you simplify.

$\displaystyle y=-\frac{2}{3}x+6$.
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January 11th, 2017, 06:51 AM   #4
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The divide part I get and simplify but the first part I didn't understand.

When you subtract 2x from both sides
2x + 3y = 18
-2x -2x

Why doesn't the 18 change? to a 16? and we cross out the 2x like regular first step equations and multi step equations?

Like this 3y=18 and then we divide by 3 both sides to get an answer

Instead we have to bring down the 2x and the 18 then we divide 3 all sides. Why is this arithmetic different.

Last edited by napninjanx; January 11th, 2017 at 06:52 AM. Reason: Needed more info
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January 11th, 2017, 09:24 PM   #5
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Quote:
Originally Posted by napninjanx View Post
The divide part I get and simplify but the first part I didn't understand.

When you subtract 2x from both sides
2x + 3y = 18
-2x -2x

Why doesn't the 18 change? to a 16? and we cross out the 2x like regular first step equations and multi step equations?

Like this 3y=18 and then we divide by 3 both sides to get an answer

Instead we have to bring down the 2x and the 18 then we divide 3 all sides. Why is this arithmetic different.
Wow, you really are confused.

$2x + 3y = 18$

is a single equation with two unknowns. Therefore, you cannot find a numeric answer. All that you can do is to re-arrange the equation to express one unknown in terms of the other.

$18 - 2x = 16\ if\ and\ only\ if\ x = 1.$

But we don't know what x is equal to.
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