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plz help me!
Didn't I already answer this for you? Line A y = x − 2 Line B: y = 3x + 4 x - 2 = 3x + 4 solve for x, then substitute that value for x to get y
i told you i didnt get it!
what are you still confused about?
i just dont get it
do you know how to solve x - 2 = 3x + 4?
i just want to know how to solve it and have it explained it to me
|dw:1432753311665:dw| what does that tell you about the two lines?
well, let's break it down step by step: x - 2 = 3x + 4 what happens when you add 2 to each side?
i dont know what you mean Do you mean: 2x-2=3x=6?
no, that's multiplication ADD 2 to each side of the equal sign (+2)
x - 2 + 2 = 3x + 4 + 2 see how I added + 2 to each side?
great! x - 2 + 2 = x, do you agree?
umm idk it doesnt look right because what did you do with the 3
I am only looking at the left side of the equal sign x - 2 + 2 = 3x + 4 + 2 JUST look at the left side of the equals sign: x - 2 + 2 do you agree that x - 2 + 2 = x?
yes i do
good! so now we have: x = 3x + 4 + 2, do you agree? we replace the left side with x because x - 2 + 2 = x
yes okay i am starting to get it a little bit
ok, now just look at the right side: 3x + 4 + 2 do agree that 3x + 4 + 2 = 3x + 6?
yes i do
awesome, now we put both sides together: x = 3x + 6 but we're not done yet
what happens when you subtract 3x from each side?
would it become x=3x+3x+6?
not quite. let's break it down into two steps: this is the left side: x this is the right side: 3x + 6 now SUBTRACT 3x from the left side, what do you get?
remember how we added + 2 before? it's the same thing, except you SUBTRACT 3x instead of ADDING 2
would x= become -3x?
Not quite, what is x minus 3x?
no, what is x - 3x?
easier question, what is 1 - 3?
right! so what do you think x - 3x is?
are you saying that it is -2x?
YES! we're done with the left side, let's move to the right side: 3x + 6 now subtract 3x and tell me what you get!
6x? 3x+6=9x 9x-6x=(3x)?
I'm not sure where you're getting 9x "subtract 3x" means minus 3 x 3x + 6 - 3x = ?
no, please try again
easier question: what is a + b - a?
Right! so what is 3x + 6 - 3x?
no, please try again... easier question: what is 3x - 3x?
right, and 0x is the same as 0, right? so what is 3x + 6 - 3x?
IMPORTANT: 6 is NOT the same as 6x! 3x + 6 - 3x = 6, do you agree?
i dont get it i thought it was 6x
nope, it's just 6! here is the original problem: 3x + 6 - 3x see how 6 is in the middle?
it's 6! REMEMBER: 6 is NOT the same as 6x
anyway, now that you understand, let's put the left side and the right side together again: -2x = 6, do you agree?
can you solve for x now?
what does x = ?
YES! We're about halfway there. Now look at the original problem: Line A = x - 2 Line B = 3x + 4 let's look at line A: y = x - 2 we know that x = -3, so what is y?
would that be 2y, -2y, 2, or -2
if it is even 2
y = x - 2 = (-3) - 2 = ?
not quite, please check your math again
nope, please try again: what is -3 - 2?
RIGHT! since y = x - 2 AND x = -3, we know that y = -3 -2, since we can replace x with -3 anyway, we know that x = -3 and y = -5 so the solution is (x,y) = (-3,-5)
is it a or b i thought it was b
YES, it's b. (-3,-5) is where line A and line B intersect
that's what I meant by "solve for x" and "solve for y". It just means, find the value of x and y
omg thank you so much!!!!
no problem, I'm glad you get it now
thank you again you are amazing i gave you a metal and fanned you