SOLUTION: Rewrite the equation so that y is a function of x Please explain and show work on each step so that I will fully understand this for the future problems that I have. THANK YOU

Algebra ->  Functions -> SOLUTION: Rewrite the equation so that y is a function of x Please explain and show work on each step so that I will fully understand this for the future problems that I have. THANK YOU      Log On


   

Question 57054This question is from textbook MCDOUGAL LITTELL ALGEBRA 1
: Rewrite the equation so that y is a function of x
Please explain and show work on each step so that I will fully understand this for the future problems that I have. THANK YOU!
3(x-2y) = -12(x+2y) This question is from textbook MCDOUGAL LITTELL ALGEBRA 1

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
3%28x+-+2y%29+=+-12%28x+%2B+2y%29
use the distributive law to factor the equation
3x+-+6y+=+-12x+-+24y
add 24y to both sides
3x+-+6y+%2B+24y+=+-12x+-+24y+%2B+24y
3x+-+6y+%2B+24y+=+-12x
subtract 3x from both sides
3x+-+3x+-6y++%2B+24y+=+-12x+-+3x
-6y+%2B+24y+=+-+12x+-+3x
18y+=+-15x
divide both sides by 18
y+=+%28-15%2F18%29%2Ax
simplify -15/18 to -5/6
y+=+%28-5%2F6%29%2Ax answer
you can check this answer by plugging it back into the original equation
3%28x+-+2%28%28-5%2F6%29%2Ax%29%29+=+-12%28x+%2B+2%28%28-5%2F6%29%2Ax%29%29
3%28x+%2B+%2810%2F6%29%2Ax%29+=+-12%28x+-+%2810%2F6%29%2Ax%29
simplify 10/6 to 5/3
3%28x+%2B+%285%2F3%29%2Ax%29+=+-12%28x+-+%285%2F3%29%2Ax%29
note that x = (3/3)*x
3%28%283%2F3%29%2Ax+%2B+%285%2F3%29%2Ax%29+=+-12%28%283%2F3%29%2Ax+-+%285%2F3%29%2Ax%29
3%28%288%2F3%29%2Ax%29+=+-12%28%28-2%2F3%29%2Ax%29
8x+=+%2824%2F3%29%2Ax
8x+=+8x
OK
checking answers is always a good idea when you have the time