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) (Show Source): You can put this solution on YOUR website!
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
x + y = -8
x - y = - 6
-----------------addition eliminates y and you have:
x = -14
Multiply both sides by 6
10x = 6(-14)
10x = -84
x =
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
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