anonymous
  • anonymous
I am going to fail plz help me i am begging i will fan and metal if you help Two lines, A and B, are represented by the equations given below: Line A: y = x − 2 Line B: y = 3x + 4 Which of the following shows the solution to the system of equations and explains why? (−3, −5), because the point does not lie on any axis (−3, −5), because the point satisfies both equations (−4, −8), because the point satisfies one of the equations (−4, −8), because the point lies between the two axes
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
plz help me!
Vocaloid
  • Vocaloid
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
anonymous
  • anonymous
i told you i didnt get it!

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Vocaloid
  • Vocaloid
what are you still confused about?
anonymous
  • anonymous
i just dont get it
Vocaloid
  • Vocaloid
do you know how to solve x - 2 = 3x + 4?
anonymous
  • anonymous
i just want to know how to solve it and have it explained it to me
Z4K4R1Y4
  • Z4K4R1Y4
|dw:1432753311665:dw| what does that tell you about the two lines?
Vocaloid
  • Vocaloid
well, let's break it down step by step: x - 2 = 3x + 4 what happens when you add 2 to each side?
anonymous
  • anonymous
i dont know what you mean Do you mean: 2x-2=3x=6?
Vocaloid
  • Vocaloid
no, that's multiplication ADD 2 to each side of the equal sign (+2)
Vocaloid
  • Vocaloid
x - 2 + 2 = 3x + 4 + 2 see how I added + 2 to each side?
anonymous
  • anonymous
yes
Vocaloid
  • Vocaloid
great! x - 2 + 2 = x, do you agree?
anonymous
  • anonymous
umm idk it doesnt look right because what did you do with the 3
Vocaloid
  • Vocaloid
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?
anonymous
  • anonymous
yes i do
Vocaloid
  • Vocaloid
good! so now we have: x = 3x + 4 + 2, do you agree? we replace the left side with x because x - 2 + 2 = x
anonymous
  • anonymous
yes okay i am starting to get it a little bit
Vocaloid
  • Vocaloid
ok, now just look at the right side: 3x + 4 + 2 do agree that 3x + 4 + 2 = 3x + 6?
anonymous
  • anonymous
yes i do
Vocaloid
  • Vocaloid
awesome, now we put both sides together: x = 3x + 6 but we're not done yet
Vocaloid
  • Vocaloid
what happens when you subtract 3x from each side?
anonymous
  • anonymous
would it become x=3x+3x+6?
Vocaloid
  • Vocaloid
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?
Vocaloid
  • Vocaloid
remember how we added + 2 before? it's the same thing, except you SUBTRACT 3x instead of ADDING 2
anonymous
  • anonymous
would x= become -3x?
Vocaloid
  • Vocaloid
Not quite, what is x minus 3x?
anonymous
  • anonymous
3x
Vocaloid
  • Vocaloid
no, what is x - 3x?
Vocaloid
  • Vocaloid
easier question, what is 1 - 3?
anonymous
  • anonymous
-2
Vocaloid
  • Vocaloid
right! so what do you think x - 3x is?
anonymous
  • anonymous
are you saying that it is -2x?
Vocaloid
  • Vocaloid
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!
anonymous
  • anonymous
6x? 3x+6=9x 9x-6x=(3x)?
Vocaloid
  • Vocaloid
I'm not sure where you're getting 9x "subtract 3x" means minus 3 x 3x + 6 - 3x = ?
anonymous
  • anonymous
6x
Vocaloid
  • Vocaloid
no, please try again
Vocaloid
  • Vocaloid
easier question: what is a + b - a?
anonymous
  • anonymous
b
Vocaloid
  • Vocaloid
Right! so what is 3x + 6 - 3x?
anonymous
  • anonymous
2?
Vocaloid
  • Vocaloid
no, please try again... easier question: what is 3x - 3x?
anonymous
  • anonymous
0x
Vocaloid
  • Vocaloid
right, and 0x is the same as 0, right? so what is 3x + 6 - 3x?
Vocaloid
  • Vocaloid
|dw:1432755049920:dw|
Vocaloid
  • Vocaloid
IMPORTANT: 6 is NOT the same as 6x! 3x + 6 - 3x = 6, do you agree?
Vocaloid
  • Vocaloid
|dw:1432755224507:dw|
anonymous
  • anonymous
i dont get it i thought it was 6x
Vocaloid
  • Vocaloid
nope, it's just 6! here is the original problem: 3x + 6 - 3x see how 6 is in the middle?
anonymous
  • anonymous
or 6
anonymous
  • anonymous
yes
Vocaloid
  • Vocaloid
it's 6! REMEMBER: 6 is NOT the same as 6x
anonymous
  • anonymous
ohh okay!!!!
Vocaloid
  • Vocaloid
anyway, now that you understand, let's put the left side and the right side together again: -2x = 6, do you agree?
anonymous
  • anonymous
yes
Vocaloid
  • Vocaloid
can you solve for x now?
Vocaloid
  • Vocaloid
what does x = ?
anonymous
  • anonymous
x=-3
anonymous
  • anonymous
?
Vocaloid
  • Vocaloid
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?
anonymous
  • anonymous
would that be 2y, -2y, 2, or -2
anonymous
  • anonymous
if it is even 2
Vocaloid
  • Vocaloid
y = x - 2 = (-3) - 2 = ?
anonymous
  • anonymous
-4
Vocaloid
  • Vocaloid
not quite, please check your math again
anonymous
  • anonymous
-3?
Vocaloid
  • Vocaloid
nope, please try again: what is -3 - 2?
anonymous
  • anonymous
ohh -5
Vocaloid
  • Vocaloid
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)
anonymous
  • anonymous
is it a or b i thought it was b
Vocaloid
  • Vocaloid
YES, it's b. (-3,-5) is where line A and line B intersect
Vocaloid
  • Vocaloid
that's what I meant by "solve for x" and "solve for y". It just means, find the value of x and y
anonymous
  • anonymous
omg thank you so much!!!!
Vocaloid
  • Vocaloid
no problem, I'm glad you get it now
anonymous
  • anonymous
thank you again you are amazing i gave you a metal and fanned you

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