Solve 3x -5y=20,6x-1v0y=40 by cross mulriplication
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Solution:
By cross multiplication
x y 1 ----------------- ----------------- --------------
(b1 × c2 - c1 (c1 × a2 - a1 ( a1 × b2 -
× b2 ) × c2 ) a2 × b1)
x y 1
-------------------- ----------------- ---------------
(-5 × -40) - (-20 (-20 × 6) - (3 (3 × -10) - (
-10) -40) 6 × -5)
x y 1
-------------------- ------------------ ----------------
(200 - 200 ) (-120) - (-120) (-30) - (-30)
x y 1
----------------- -------------------- -----------------
0. 0. 0
Hence, x is 0 and y is also 0.
Hence there is no solutions.
here a1/a2 = b1/b2
By cross multiplication
x y 1 ----------------- ----------------- --------------
(b1 × c2 - c1 (c1 × a2 - a1 ( a1 × b2 -
× b2 ) × c2 ) a2 × b1)
x y 1
-------------------- ----------------- ---------------
(-5 × -40) - (-20 (-20 × 6) - (3 (3 × -10) - (
-10) -40) 6 × -5)
x y 1
-------------------- ------------------ ----------------
(200 - 200 ) (-120) - (-120) (-30) - (-30)
x y 1
----------------- -------------------- -----------------
0. 0. 0
Hence, x is 0 and y is also 0.
Hence there is no solutions.
here a1/a2 = b1/b2
Supreet123:
Sorry It has many solutions
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