Question

Resolva o sistema
X=y+z
Y=2x-100
Z=3y-160

Answer 1

x = y + z

x = (2x - 100) + (3y - 160)

x = 2x + 3y - 260

x = 2x + 3.(2x-100) - 260

x = 2x + 6x - 300 - 260

x - 8x = -560

-7x = -560

x = -560/-7

x = 80

y = 2.80 - 100

y = 160 - 100

y = 60

z = 3.60 - 160

z = 180 - 160

z = 20