SOLUTION: Solve the system of linear equations. x/4 - y/11 = -9/44 x/6

SOLUTION: Solve the system of linear equations. x/4 - y/11 = -9/44 x/6 - y/13 = -1/26

Question 258796: Solve the system of linear equations.
x/4 - y/11 = -9/44
x/6 - y/13 = -1/26
Found 3 solutions by CharlesG2, drk, richwmiller:
Answer by CharlesG2(834)   (Show Source): You can put this solution on YOUR website!
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

Answer by drk(1908)   (Show Source): You can put this solution on YOUR website!
Here are the original equations
(i)
(ii)
--
step 1 - multiply (i) by 44
multiply (ii) by 78 to get
(iii)
(iv)
--
step 2 - multiply (iii) by 3
multiply (iv) by -2
(v)
(vi)
--
step 3 - add (v) and (vi) together to get
(vii)

--
solve for y to get
(viii)

--
so, (-3,-6)
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!

and
x = -3, y = -6
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