Soal:

1. Tentukan solusi dari 2x + 5y = 12 & 2x + 3y = 5 dengan metode substitusi!

Jawab:

#Cara Substitusi

(i). 2x + 5y = 12

(ii). 2x + 3y = 5

› Evaluasi pers (ii)

(ii). 2x + 3y = 5

» 2x + 3y - 3y = 5 - 3y

» 2x + 0 = 5 - 3y

» 2x = 5 - 3y

› Substitusi nilai 2x = 5 - 3y, ke 2x

(i). 2x + 5y = 12

» 5 - 3y + 5y = 12

» 5 + 2y = 12

» 2y = 12 - 5

» 2y = 7

» y = 7/2

› Substitusi nilai y = 7/2, ke y

2x = 5 - 3y

2x = 5 - 3(7/2)

2x = 5 - 21/2

2x = 10/2 - 21/2

2x = -11/2

x = -11/2 ÷ 2

x = -11/4

HP = {- 11/4 , 7/2}

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#Answer By : 4Lz