Ano ba ang sagot? Gamitin ang pag-aalis o pagpapalit upang malutas -5x + 14y = 17 "" at "" 9x-6y = 27

Sagot:

# x = 5 at y = 3 #

Paliwanag:

Hayaan ang mga equation ay:

# -5x + 14y-17 = 0 "" #(maging equation 1)

# "" 9x-6y-27 = 0 "" # (maging equation 2)

(nagpapahiwatig ng equation 1) => # 14y = 5x + 17 #

=> # "" y = (5x + 17) / 14 # (maging equation 3)

(Pinalitan sa equation 2)

# 9x-6 {(5x + 17) / 14} -27 = 0 "" larr xx 14 #

=> # 126x-30x-102-378 = 0 #

=> # 96x-480 = 0 #

=> # 96x = 480 #

=> # x = 480/96 #

=> # x = 5 #

Ngayon, palitan sa equation 3

=> # y = {5 (5) +17} / 14 "" #(pagkuha x = 5)

=> # y = {(25) +17} / 14 #

=> # y = 42/14 #

# y = 3 #

Sagot:

# y = 3, x = 5 #

Paliwanag:

#:.- 5x + 14y = 17 --------- (1) #

#: 9x-6y = 27 ----------- (2) #

#:. (1) xx9 #

#:.- 45x + 126y = 153 ------ (3) #

#:. (2) xx5 #

#: 45x-30y = 135 ------- (4) #

#:.(3)+(4)#

#: 96y = 288 #

#: y = 3 #

kapalit # y = 3 # sa# (2)#

#: 9x-6 (3) = 27 #

#: 9x-18 = 27 #

#: 9x = 27 + 18 #

#: 9x = 45 #

#: x = 5 #

~~~~~~~~~

suriin: -

Kapalit # y = 3 #at # x = 5 # sa #(2)#

#:.9(5)-6(3)=27#

#:.45-18=27#

#:.27=27#