Question

Determine x e y de modo que:

a ) (x - 2,2y +3) = (3x- 1,y +5)

b ) (x,2x - y) = (y,3)

Answer 1

a ) (x - 2,2y +3) = (3x- 1,y +5)

x - 2 = 3x- 1 ==> 3x - x = - 2 + 1 ==> 2x = - 1 ==> x = -1/2

2y + 3 = y+5 ==> 2y-y = 5-3 ==> y = 2 
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b ) (x,2x - y) = (y,3)

x = y ==> y = 3

2x - y = 3 ==> 2x - x = 3 ==> x = 3