SOLUTION: -11x = 395 + y 14y = -634 - 10x I need to solve this system of linear equations using any method. I'd like to see the steps and the correct answer. I'm not sure which method

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: -11x = 395 + y 14y = -634 - 10x I need to solve this system of linear equations using any method. I'd like to see the steps and the correct answer. I'm not sure which method      Log On


   

Question 160343: -11x = 395 + y
14y = -634 - 10x

I need to solve this system of linear equations using any method. I'd like to see the steps and the correct answer. I'm not sure which method would be the easiest and I'm just stuck. Thank you for all your help.
Found 2 solutions by scott8148, ankor@dixie-net.com:
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
subtracting 395 from 1st eqn __ -11x-395=y

substituting into 2nd eqn __ 14(-11x-395)=-634-10x __ -154x-5530=-634-10x

-144x=4896 __ x=-34

substituting __ -11(-34)-395=y __ -21=y

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
-11x = 395 + y
14y = -634 - 10x
:
Any method is tedious here, arrange the equations, thusly:
-11x - y = 395
+10x +14y = -634
:
Multiply the 1st equation by 14
-154x - 14y = 5530
+ 10x + 14y = -634
---------------------addition eliminates y, find x
-144x + 0y = 4896
x = 4896%2F%28-144%29
x = -34
:
Find y using the 2nd original equation
14y = -634 - 10(-34)
14y = -634 + 340
14y = -294
y = %28-294%29%2F14
y = -21
:
:
Check solutions in the 1st original equation:
-11x = 395 + y
-11(-34) = 395 + (-21)
+374 = 395 - 21
374 = 374; equality reigns