SOLUTION: x/4 - y/11 = -9/44 x/6 - y/13 = -1/26

Algebra ->  Linear-equations -> SOLUTION: x/4 - y/11 = -9/44 x/6 - y/13 = -1/26      Log On


   

Question 151240: x/4 - y/11 = -9/44
x/6 - y/13 = -1/26
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
x/4 - y/11 = -9/44
(11X+4Y)/44=-9/44 DIVIDE BOTH SIDES BY 1/44.
11X-4Y=-9
x/6 - y/13 = -1/26
(13X-6Y)/84=-1/26 DIVIDE BOTH SIDES BY 1/26.
(13X-6Y)/3=-1
13X-6Y=-3 NOW MULTIPLY THIS EQUATION BY 2 & MULTIPLY THE OTHER EQUATION BY -3 & ADD THEM:
26X-12Y=-6
-33X+12Y=27
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-7X=21
X=21/-7
X=-3 ANSWER.
11*-3-4Y=-9
-33-4Y=-9
-4Y=-9+33
-4Y=24
Y=24/-4
Y=-6 ANSWER.
PROOF:
-3/6-(-6/13)=-1/26
-1/2+6/13=-1/26
(-13+12)/26=-1/26
-1/26=-1/26