Jawaban:
Nilai a = -3
Nilai b = 5
Penjelasan dengan langkah-langkah:
Diketahui :
Ditanya :
Jawab :
f(x) = ax + b
f(2) = a(2) + b = -1
2a + b = -1 ... (i)
:\
f(-3) = a(-3) + b = 14
-3a + b = 14
b = 14 + 3a ... (ii)
Mencari nilai a :
Subsitusikan pers. (ii) ke pers. (i) :
2a + b = -1
2a + (14 + 3a) = -1
2a + 14 + 3a = -1
2a + 3a = -1 - 14
5a = -15
a = -15/5
a = -3
Mencari nilai b :
Subsitusikan a = -3 ke pers. (ii)
b = 14 + 3a
b = 14 + 3(-3)
b = 14 + (-9)
b = 14 - 9
b = 5
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Jawaban:
Nilai a = -3
Nilai b = 5
Penjelasan dengan langkah-langkah:
Diketahui :
Ditanya :
Jawab :
f(x) = ax + b
f(2) = a(2) + b = -1
2a + b = -1 ... (i)
:\
f(x) = ax + b
f(-3) = a(-3) + b = 14
-3a + b = 14
b = 14 + 3a ... (ii)
Mencari nilai a :
Subsitusikan pers. (ii) ke pers. (i) :
2a + b = -1
2a + (14 + 3a) = -1
2a + 14 + 3a = -1
2a + 3a = -1 - 14
5a = -15
a = -15/5
a = -3
Mencari nilai b :
Subsitusikan a = -3 ke pers. (ii)
b = 14 + 3a
b = 14 + 3(-3)
b = 14 + (-9)
b = 14 - 9
b = 5