SOLUTION: I don't really understand this.. well i kind of do but i kind of don't: 3x+2y=12 2x+5y=8 I don't know how to do it because there is no "y=" or "x=" and it get confused on th

Algebra ->  Expressions-with-variables -> SOLUTION: I don't really understand this.. well i kind of do but i kind of don't: 3x+2y=12 2x+5y=8 I don't know how to do it because there is no "y=" or "x=" and it get confused on th      Log On


   



Question 75152: I don't really understand this.. well i kind of do but i kind of don't:
3x+2y=12
2x+5y=8
I don't know how to do it because there is no "y=" or "x=" and it get confused on these. would you take (3x+2y=12) and multiply that by negative 2... and then take (2x+5y=8) and multiply that by positive 3?.... i don't know.. but if thats correct, I don't know what to do next.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the system of equations:
1) 3x%2B2y+=+12
2) 2x%2B5y+=+8
Your suggestion is a good one.
1a) -2%283x%2B2y%29+=+-2%2812%29
1a) -6x-4y+=+-24
2a) 3%282x%2B5y%29+=+3%288%29
2a) 6x%2B15y+=+24
Now add equations 1a) and 2a)
1a) -6x-4y+=+-24
2a) 6x%2B15y+=+24
------------------------
3) 11y+=+0 so y = 0 Now substitute this value for y into either of the two original equations and solve for x.
1) 3x%2B2y+=+12 Set y = 0
3x%2B2%280%29+=+12
3x+=+12 Divide both sides by 3.
x+=+4
The solution is: (4, 0)
Here's the graph showing the intersection (solution).
graph%28300%2C200%2C-5%2C7%2C-5%2C5%2C-%283%2F2%29x%2B6%2C-%282%2F5%29x%2B8%2F5%29