Let the number = n
7n + 6 = 41 7n = 41 - 6 7n = 35 Dividing both sides by 7, we get n = 5
The** mathematical expression** will be;
⇒ 7x + 6 = 41
Where, x is number.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using **operations **like addition, subtraction, multiplication, and division.
Given that;
The **algebraic **expression is,
''6 more than 7 times a number is 41''
Now,
Let a number = x
So, We can formulate;
⇒ 7x + 6 = 41
Thus, The** mathematical expression** will be;
⇒ 7x + 6 = 41
Where, x is number.
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The equation formed from the statement is 7 x + 6 = 41 . Solving for x gives us x = 5 . Therefore, the number is 5.
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Jawaban:x:5=6Penjelasan:karenaaa...:No Input Output1 5 72 10 83 15 94 20 10Langkah 1: Lihat hubungan antara Input dan OutputPerhatikan:5 → 7 (+2)10 → 8 (−2)15 → 9 (−6)20 → 10 (−10)Hmm, ini terlihat seperti selisihnya menurun:Dari 5 ke 10 → Output turun dari 7 ke 8 (−1)Dari 10 ke 15 → Output naik dari 8 ke 9 (+1)Dari 15 ke 20 → Output naik dari 9 ke 10 (+1)Itu tidak cukup jelas. Mari kita coba cari pola matematis.Langkah 2: Coba rumus umumMisal input = x, output = yCoba uji rumus:y = −(x ÷ 5) + 8Uji:x = 5 → y = −(5 ÷ 5) + 8 = −1 + 8 = 7 ✅x = 10 → y = −(10 ÷ 5) + 8 = −2 + 8 = 6 ❌Hmm, gagal.Coba lagi dengan pendekatan linear:Misal y = ax + bGunakan dua titik (x1, y1) = (5, 7) dan (10, 8)Gunakan rumus garis lurus:=2−12−1=8−710−5=15a=x2 −x1 y2 −y1 =10−58−7 =51 Lalu cari b:=+→7=15(5)+→7=1+→=6y=ax+b→7=51 (5)+b→7=1+b→b=6Jadi rumus:✅ y = (1/5)x + 6Uji untuk input lain:x = 15 → y = (1/5)(15) + 6 = 3 + 6 = 9 ✅x = 20 → y = (1/5)(20) + 6 = 4 + 6 = 10 ✅Jawaban:x÷5+6 (tanpa spasi dan hanya operator yang diperbolehkan)Jika ingin lebih simpel (tanpa pembagian):(x/5)+6Silakan pilih bentuk yang sesuai aturan soal. Jika hanya operator + - x : diizinkan (dan : sebagai pembagi).