<PRE><B>Question 258796</B>
Solve the system of linear equations.
x/4 - y/11 = -9/44
x/6 - y/13 = -1/26

x/4 - y/11 = -9/44 (* 44 both sides)
x/6 - y/13 = -1/26 (* 26 both sides)

11x     - 4y   = -9
(13/3)x - 2y   = -1  (26/6=13/3) (* 3 both sides)

11x  - 4y   = -9
13x  - 6y   = -3

11x  - 4y   = -9 (choosing this one and solving for y)
-4y = -11x - 9
 4y =  11x + 9
  y = (11/4)x + (9/4)

13x  - 6y   = -3  (plugging our solved y into this)
13x  - 6((11/4)x+(9/4)) = -3
13x  - (66/4)x - (54/4) = -3
(52/4)x - (66/4)x = (-12/4) + (54/4)  (52/4=13, -12/4=-3)
(-14/4)x = (42/4) (multiply both sides by 4)
-14x = 42
x=-3

11x  - 4y   = -9  (plug x=-3 into this and solve for y)
11(-3) - 4y = -9
-33 - 4y = -9
-4y = -9 + 33
-4y = 24
y=-6

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