SOLUTION: Im trying to solve by elimination. 3x+4y=14 2x-3y=-19 I have been able to solve for X which is 2 but I'm not sure how or where to plug in X to find Y. Thank you in a

Algebra ->  Linear-equations -> SOLUTION: Im trying to solve by elimination. 3x+4y=14 2x-3y=-19 I have been able to solve for X which is 2 but I'm not sure how or where to plug in X to find Y. Thank you in a      Log On


   

Question 842130: Im trying to solve by elimination.
3x+4y=14
2x-3y=-19
I have been able to solve for X which is 2 but I'm not sure how or where to plug in X to find Y.
Thank you in advance
Found 2 solutions by Fombitz, ewatrrr:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
No, x should be -2.
Multiply eq. 1 by 3 and eq. 4 by 3 and add them.
3%283x%2B4y%29%2B4%282x-3y%29=3%2814%29%2B4%28-19%29
9x%2B12y%2B8x-12y=42-76
17x=-34
x=-2
You just use either equation to solve for y.
3x%2B4y=14
3%28-2%29%2B4y=14
-6%2B4y=14
4y=20
y=5

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

3x+4y=14

2x-3y=-19 



9x+12y=42

8x-12y=-76

  17x = -34

    x = -2   |Always recommend caution with 'signs'

Using: 3x+4y=14 to find y  (either of the original EQs work)

and y = 3%2A%28-2%29+%2B+4y+=+14,  4y = 20, y =highlight%28+5%29



 CHECKING our answer*** 

Using: 2x-3y=-19  

     -2%2A2+-3%2A5+=+-19

Wish You the Best in your Studies.