SOLUTION: Solve the system by the addition method showing all work: (1/6)x + (1/4)y = -2 x – y = -6

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Question 222186: Solve the system by the addition method showing all work:
(1/6)x + (1/4)y = -2
x – y = -6
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Solve the system by the addition method showing all work:
(1/6)x + (1/4)y = -2
x – y = -6
multiply the 1st equation by 4. In the 2nd equation change coefficient of x to 6/6
4%2F6x + y = -8
6%2F6x - y = - 6
-----------------addition eliminates y and you have:
10%2F6x = -14
Multiply both sides by 6
10x = 6(-14)
10x = -84
x = %28-84%29%2F10
x = -8.4
:
Find y using x - y = -6
-8.4 - y = -6
Multiply equation by -1
8.4 + y = 6
y = 6 - 8.4
y = -2.4
;
:
Check solution in the 1st equation
(1/6)(-8.4) + (1/4)(-2.4) = -2
-1.4 + -.6 = -2