2x + 3y = 8 memiliki penyelesaian {(m, n)}.
Nilai dari m + n adalah ….
A. 5
D. 8
B. 6
E. 9
C. 7
Diketahui sistem persamaan 3x + 2y = 17 dan
Jawab:
Penjelasan dengan langkah-langkah:
3x + 2y = 17
3x= -2y+17
x= 1/3(-2y+17)
2x + 3y = 8
2 (1/3(-2y+17)) + 3y = 8
2/3(-2y+17) + 3y = 8
2(-2y+17) + 9y = 24
-4y + 34 + 9y = 24
5y = -10
y = -2
2x + 3y = 8
2x + 3(-2) = 8
2x = 8 + 6
x = 7
jadi m + n = 7 + (-2) = 5
Diketahui :
3x + 2y = 17
2x + 3y = 8
m = x dan n = y
Ditanya :
m + n?
Jawab :
3x + 2y = 17 | ×3 |
2x + 3y = 8 | ×2 |
9x + 6y = 51
4x + 6y = 16
_________ –
5x = 35
m = x = 7
2x + 3y = 8
2(7) + 3y = 8
14 + 3y = 8
3y = -6
n = y = -2
= m + n
= 7 + (-2)
= 5 (A)