Question

Fie x şi y două numere reale. Calculaţi:
a)
9x-7y+3y-2x;
b)x+4x+5y-11x-12y + 7y;
c) 2(x+3y)-3(2x-y);
d) (2x-y)-(x-3y)-(-x+2y).
Solutie: a) 9x-7y+3y-2x = (9x-2x) + (-7y+3y) = 7x - 4y;
c)
b) x + 4x + 5y - 11x - 12y + 7y= (x + 4x - 11x) + (5y-12y + 7y) = -6x +0= -6x;
2(x+3y)-3(2x-y)=2x+6y-6x + 3y = 4x +9y;
(2x-y)-(x-3y)-(-x+2y)=2x-y-x+3y+x-2y = 2x.
d)
30

Answer 1

Răspuns:

Explicație pas cu pas:

Fie x şi y două numere reale. Calculaţi:

a) 9x-7y+3y-2x;

b) x+4x+5y-11x-12y + 7y;

c) 2(x+3y)-3(2x-y);

d) (2x-y)-(x-3y)-(-x+2y).

Solutie:

a) 9x-7y+3y-2x = (9x-2x) + (-7y+3y) = 7x - 4y;

b) x + 4x + 5y - 11x - 12y + 7y = (x + 4x - 11x) + (5y-12y + 7y) = -6x +0 = -6x;

c) 2(x+3y)-3(2x-y)=2x+6y-6x + 3y = -4x +9y;

d) (2x-y)-(x-3y)-(-x+2y)=2x-y-x+3y+x-2y = 2x.