A company produces accessories for smart phones and tablets. The profit on each smart phone case is $2 and the profit on each tablet case is $3. The company made a profit of $1,200 on the cases last month. The equation 2x + 3y = 1,200 represents the company's profit from cases last month, where x is the number of smart phone cases sold and y is the number of tablet cases sold.
1. Change the equation into slope-intercept form
. Identify the slope and y-intercept of the equation.
Be sure to show all of your work.

Question

A company produces accessories for smart phones and tablets. The profit on each smart phone case is $2 and the profit on each tablet case is $3. The company made a profit of $1,200 on the cases last month. The equation 2x + 3y = 1,200 represents the company's profit from cases last month, where x is the number of smart phone cases sold and y is the number of tablet cases sold.  
1.	Change the equation into slope-intercept form
. Identify the slope and y-intercept of the equation. 
Be sure to show all of your work.

wolfe8 · Answer

So the slope-intercept form is y=mx+b where m is the gradient/slope and b is the y-intercept. So what you need to do is rearrange the equation and then read from it the answers for 1.

anonymous · Answer

ok can you show me how i would do it plz

wolfe8 · Answer

You have 
2x + 3y = 1200
You want only y on the left side. So you will have to get rid of the 2x and scalar 3 on the left side. Do that, you will minus both sides with 2x to get
2x + 3y -2x = 1200 -2x
2y = 1200 - 2x
Now all you need is to divide both sides with 2. Can you do that?

anonymous · Answer

yes 2y=600

anonymous · Answer

?

agent0smith · Answer

What happened to the -2x? It doesn't just disappear when you divide by 2. -2x/2 is...?

wolfe8 · Answer

How familiar are you with algebra?

anonymous · Answer

i am familiar.. but not good

anonymous · Answer

-1

wolfe8 · Answer

If I give you 2x+2y = 4 and tell you to divide it by two, what would you do exactly?

anonymous · Answer

i would divide 2x by 2 and 4 by 2

wolfe8 · Answer

What about the 2y? When you divide an equation or expression by a number, you have to divide every single element in it by that number. You are basically doing
$$(2x+2y=4)\times1/2$$
Using the distributive rule, you will do
2x/2 + 2y/2 = 4/2

Same goes for multiplication. When doing addition and subtraction it goes as how I showed you in my workings earlier.

wolfe8 · Answer

So can you try that again? 2x+2y = 4 divided by 2

anonymous · Answer

ok everything going to come down to x+2=2

wolfe8 · Answer

Did you mistype that? Because when you divide a multiple of an unknown by a scalar, you can only do the process for the scalars. For example, as you did 2x/2 you only divide 2/2 and leave the x until the end of the process. So you get x. Dame goes for y, or z, or a or b or any unknown. Try again?

agent0smith · Answer

2y/2 = y. You can't make a variable just magically disappear.

anonymous · Answer

@agent0smith  is this in slope intercept form?

agent0smith · Answer

is what...?