Question

2x - 3y = -7
3x + 5y = -1

tentukan Himp. penyelesaian diatas dg sistem substitusi....

pakai cara sekalian ya.....

Answer 1

2x - 3y = -7
2x = -7 + 3y
2x = 3y -7
x = (3y -7) /2

3x +5y = -1
3 (3y -7)/2 +5y = -1
(9y - 21)/2 + 10y/2 = -1
9y - 21 +10y = -2
19y = 19
y = 1

x = (3y -7)/2
x = (3 -7) /2
x = -4/2
x= -2

HP = (-2,1)

Answer 2

2x - 3y = -7
-3y = -2x - 7
y = 2/3 x + 7/3

Substitusikan
3x + 5y = -1
3x + 5 (2/3 x + 7/3) = -1
3x + 10/3 x + 35/3 = -1
9x + 10x + 35 = -3 (Kedua ruas dikali 3)
19x = -3 - 35
19x = -38
x = -38/19
x = -2

2x - 3y = -7
2(-2) - 3y = -7
-4 - 3y = -7
-3y = -7 + 4
-3y = -3
y = -3/-3
y = 1

HP = {-2,1}