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Aflati valoare raportului numerelor x si y daca:
a)x+y/2x+3y=8/19
b)6x-2y/12x+5y=1/7
d)6x+2y / 5x+3y = 1,(1)
d)x-3y/2x+7y=0,0(6)
e)2x+5y/4x-y=1 intreg 18/19
f)x+0,5y/3x+y=7/18

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Răspuns :

a) 19(x+y)=8(2x+23y)⇒19x+19y=16x+24y⇒3x=5y⇒x/y=5/3b)7(6x-2y)=12x+5y⇒42x-14y=12x+5y⇒30x=19y⇒x/y=19/30c) 6x+2y/5x+3y=10/9⇒9(6x+2y)=10(5x+3y)⇒54x+18y=50x+30y⇒
4x=12y⇒x/y=12/4=3d)x-3y/2x+7y=6/90=1/15⇒15(x-3y)=2x+7y⇒15x-45y=2x+7y⇒13x=52y⇒x/y=52/13=4e) 2x+5y/4x-y=37/19⇒19(2x+5y)=37(4x-y)⇒38x+95y=148x-37y⇒-110x=-132y⇒x/y=132/110=66/55f) 18(x+y/2)=7(3x+y)⇒18x+9y=21x+7y⇒2y=3x⇒3x=2y⇒x/y=2/3