Soal dan Pembahasan Matematika
SMK / MAK
Kelas X
Kasmina | Toali
Bab 7 Matriks
4. Nilai (2x + 5y) dari kesamaan matriks
x-2y -1
3y 4
=
13 -1
-5x 3x + y
adalah ...
a. -19
b. -5
c. 5
d. 25
e. 31
Jawaban : A
x - 2y = 13 ... (i)
3y = - 5x
y = - 5/3 x
substitusi nilai y ke dalam persamaan (i)
x - 2y = 13
x - 2 . -5/3 x = 13
3x + 10x = 39
13x = 39
x = 3
y = - 5/3 x
y = - 5/3 . 3
y = - 5
nilai 2x + 5y
= 2 . 3 + 5 . -5
= 6 - 25
= - 19
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