Question

Stiind ca 2x= -3y, sa se afle
a) 4x+6y
b) x/y
c) (2x+y)/x
d) (2y-3x)/(x+y)​

Answer 1

a) 4x+6y= 2•(-3y)+6y=-6y+6y=0

b) x/y=2x/2y=-3y/2y=-1,5

c) (2x+y)/x= (-3y+y)/-3y=-2y/-3y=2/3

d) (2y-3x)/(x+y)=(4y-6x)/(2x+2y)=(4y+9y)/(-3y+2y)=

=11y/-y=-11

Answer 2

Răspuns:

2x=-3y<=>x=-3y/2 -3y=2x<=>y=-2x/3

Explicație pas cu pas:

a)4x+6y=4×(-3y/2)+6×(-2x/3)=-6y-4x

b)x/y=-3y/2/(-3/2x)=9y/4x

c)2x+y)/x=(-3y-2x/3)/-3y/2=(-9y-2x)/3×(-2/3y)=(18y+4x)/9y

d)[2(-2x/3)-3(-3y/2)]/(-3y/2+(-2x/3)=(-4x/3+9y/2)/(-9y+4x)/6=(-8x+27y)/6×6/(-9y+4x)=(-8x+27y)/(4x-9y).