SOLUTION: I need to solve this system of linear equations using any method. I tried using the elimination method but i got stuck. 8x-6y=12 12x-9y=18 I started off by adding the 8x and 12

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: I need to solve this system of linear equations using any method. I tried using the elimination method but i got stuck. 8x-6y=12 12x-9y=18 I started off by adding the 8x and 12      Log On


   



Question 951633: I need to solve this system of linear equations using any method. I tried using the elimination method but i got stuck.
8x-6y=12
12x-9y=18 I started off by adding the 8x and 12x and got 10x. then i added -6 and -9 and got -15. 12+18 and got 30. from there i was starting to feel iffy about the rest. if all this is right how do i go about finishing the problem off?

Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
8x-6y=12 divide by 2 ---> 4x - 3y = 4
12x-9y=18 divide by 3 --> 4x - 3y = 6
=====================
Subtract
0 = -2
Inconsistent, no solution.
If you graph the 2 eqns, you get parallel lines.
No intersection, no solution.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

8x-6y=12....eq.1....simplify first, both sides divide by2
12x-9y=18....eq.2...both sides divide by3%7D%7D%0D%0A------------------%0D%0A%0D%0A%7B%7B%7B4x-3y=6....eq.1
4x-3y=6....eq.2
----------------------------now you got same coefficients for x and x variable which means the two lines are identical, so if you subtract eq.2 from eq.1 you will get
cross%284x%29-3y-cross%284x%29-%28-3y%29=6-6
-3y%2B3y=0
0=0 the two lines are identical if one lies perfectly on top of the other, and intersect at all points of both lines
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+4x%2F3-2%2C+4x%2F3-2%29+