Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
14x + 18y = -54
-4x – 14y = 42

Question

anonymous · Answer

multiply the first equation across by 2 
multiply the 2nd equation across by 7 
28x + 36y = -108 
-28x -98y = 294 
------------------ 
0x - 62y = 186 
y = -186/62 =-3 
plug y = -3 into one of the equations: 
-4x - 14(-3) = 42 
-4x +42 = 42 
x = 0

hero · Answer

y = (-54-14x)/18
y = (42+4x)/-14

y = y 
(-54-14x)/18 = (42+4x)/-14
-14(-54-14x) = 18(42+4x)

756 + 196x = 756 + 72x 
124x = 0
x = 0
y = -3

hero · Answer

My steps probably make no sense whatsoever.

hero · Answer

I set y = y to eliminate y as a variable.

hero · Answer

Then I cross multiplied and solved for x. Then used x = 0 to find y.

anonymous · Answer

The problem asked for elimination method, so ...

hero · Answer

My approach is valid for elimination method

anonymous · Answer

yeah true. my bad

anonymous · Answer

conheomap-- at the end of your problem how did you get 
42-4x+42=42x=0  ??  wouldn't the 42s cancel out, and you would be left with -4x?? I have this same problem that I am trying to work out the answer to it right now, but it doesn't seem to be going right.. HELP!