Soal:

1. Himpunan penyelesaian dari sistem persamaan linear dua variabel 3x - 2y = -22 dan x + 3y = -22 adalah?

Jawab:

#Cara Substitusi

(i). 3x - 2y = -22

(ii). x + 3y = -22

› Evaluasi pers (ii)

(ii). x + 3y = -22

» x + 3y - 3y = -22 - 3y

» x + 0 = -22 - 3y

» x = -22 - 3y

› Substitusikan ke pers (i)

(i). 3x - 2y = -22

» 3(-22 - 3y) - 2y = -22

» -66 - 9y - 2y = -22

» -66 - 11y = -22

» -11y = -22 + 66

» -11y = 44

» y = 44/-11

» y = -4 ✓

› Substitusikan ke nilai x

x = -22 - 3y

x = -22 - 3(-4)

x = -22 - (-12)

x = -22 + 12

x = -10 ✓

HP = {-10 , -4}

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#Answer By : 4Lz