Question

Solve the following pair of linear equation using elimination method 5x-4y+8=0,7x+6y-9=0

Answer 1

Y=-6/29
X=101/58
By elimination...

Answer 2

let 5x-4y+8=0_(1)
7x+6y-9=0_(2)
multiply equation 1 with 7
and equation 2 with 5
(5x-4y+7=0)×7
35x-28y+49=0_(3)
(7x+6y-9=0)×5
35x+30y-45=0_(4)
solve eq (3) and eq (4)
(35x-28y+49=0)-(35x+30y-45=0)
-58y+4=0
58y=4
y=2/29
substitute y value in eq(1)
5x-8/29+8=0
5x=8/29-8
=-7.724
x=-1.54


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