4) How many solutions does each equation have
a) 4y – 4y – 12 = 14 – 2
b) –3y + 3y + 4 = 4
c) 3x + 6 = –1 – 3 + 4x

Question

4)	How many solutions does each equation have
a)	4y – 4y – 12 = 14 – 2 
b)	–3y + 3y + 4 = 4 
c)	3x + 6 = –1 – 3 + 4x

impracticaljoker · Answer

@rebeccaxhawaii

impracticaljoker · Answer

@FortyTheRapper

impracticaljoker · Answer

@rebeccaxhawaii

impracticaljoker · Answer

Dont you dare leave me ;c

impracticaljoker · Answer

@rebeccaxhawaii

rebeccaxhawaii · Answer

im sorry ;c

rebeccaxhawaii · Answer

http://www.shmoop.com/equations-inequalities/equations-many-solutions.html

impracticaljoker · Answer

Heeelp

impracticaljoker · Answer

Go to that link?

fortytherapper · Answer

A.) and B.) are going to be the same.

What do you notice about the Y values?

impracticaljoker · Answer

What do you mean? I see there are 2 in both equations with the same numbers.

fortytherapper · Answer

That's a good start
Are the both positive, negative, or one of each?

impracticaljoker · Answer

One of each

fortytherapper · Answer

Right, so for the first one

$$4y-4y=?$$

impracticaljoker · Answer

Wait, I dont understand what you're asking for

fortytherapper · Answer

Just a subtraction problem

If you had "4y" of something and I took away "4y" of something from you, how much would you have

anonymous · Answer

attachment

impracticaljoker · Answer

just the y or would that be gone too?

fortytherapper · Answer

Right, it would be gone too because it works the same way as just numbers. If it helps, you could forget about the y

4-4 = 0
Then add the y back on

0y, which is 0 basically

impracticaljoker · Answer

Ok

impracticaljoker · Answer

Next step?

fortytherapper · Answer

Which means the y is gone, leaving us with

$$-12=14-2$$

(Sorry, Im having some script problems so I'm lagging)

fortytherapper · Answer

If that statement true or false

impracticaljoker · Answer

So no solution1

fortytherapper · Answer

Correct

impracticaljoker · Answer

And since the 2nd equation is the same it will be no solution for that one too!

fortytherapper · Answer

Not exactly the same, but it is the same to an extent of the y's

-3y + 3y is saying -3+3=?

That is 0, so that leaves us with 

4=4

That's true or false?

impracticaljoker · Answer

Not understanding what you're asking again.

fortytherapper · Answer

I am back from work

Part B:

$$–3y + 3y + 4 = 4 $$

When we subtracted 3y-3y, we got 0, giving us

$$4 = 4$$

This means the line of y = 4 is on top of the line of y = 4, so for whatever value X we look at, the y value for both lines will always be the same... which would be 4.

That means we have an infinite number of solutions.