Question

Calcule x e y:

a) x/2 = y/3 e x + y = 40
b)x/4=5/4 e x+ y= 10

Answer 1

a)

x/2 = y/3

x + y = 40

3x- 2y = 0

2x + 2y = 80

5x = 80

x = 80/5 = 16

16 + y = 40

y = 40 - 16 = 24

S = (16, 24)

b)

x/4 = 5y/4

x + y = 10

x = 5y

5y + y = 10

6y = 10

y = 5/3

x = 5y = 25/3

S = (25/3, 5/3)