4y - 6 =7y- 48
Solve equation by trial and error method
And please solve step by step from 1 to 14
Answers
..Question..ㅤㅤ
Solve the equation by trial and error method
➪ 4y - 6 = 7y - 48
..Answer..
Trial 1 ♧︎︎︎
Let the value of y = 1
☯︎ putting the values , we get
☯︎ L.H.S
ㅤㅤ➪ 4 y - 6
ㅤㅤ➪ 4 × 1 - 6
ㅤㅤ➪ 4 - 6
ㅤㅤ➪ - 2
☯︎ R.H.S
ㅤㅤ➪ 7 y - 48
ㅤㅤ➪ 7 × 1 - 48
ㅤㅤ➪ 7 - 48
ㅤㅤ➪ - 41
°•° L.H.S ≠ R.H.S
•°• Trial 1 was wrong
Again ,
Trial 2 ♧︎︎︎
Let the value of y = 2
☯︎ Putting the values , we get
☯︎ L.H.S
ㅤㅤ➪ 4 y - 6
ㅤㅤ➪ 4 × 2 - 6
ㅤㅤ➪ 8 - 6
ㅤㅤ➪ 2
☯︎ R.H.S
ㅤㅤ➪ 7 y - 48
ㅤㅤ➪ 7 × 2 - 48
ㅤㅤ➪ 14 - 48
ㅤㅤ➪ - 34
°•° L.H.S ≠ R.H.S
•°• Trial 2 was wrong
Again ,
Trial 3 ♧︎︎︎
Let the value of y = 3
☯︎ putting the values , we get
☯︎ L.H.S
ㅤㅤ➪ 4 y - 6
ㅤㅤ➪ 4 × 3 - 6
ㅤㅤ➪ 12 - 6
ㅤㅤ➪ 6
☯︎ R.H.S
ㅤㅤ➪ 7 y - 48
ㅤㅤ➪ 7 × 3 - 48
ㅤㅤ➪ 21 - 48
ㅤㅤ➪ - 27
°•° L.H.S ≠ R.H.S
•°• Trial 3 was wrong
Again ,
Trial 4 ♧︎︎︎
Let the value of y = 4
☯︎ Putting the values we get
☯︎ L.H.S
ㅤㅤ➪ 4 y - 6
ㅤㅤ➪ 4 × 4 - 6
ㅤㅤ➪ 16 - 6
ㅤㅤ➪ 10
☯︎ R.H.S
ㅤㅤ➪ 7 y - 48
ㅤㅤ➪ 7 × 4 - 48
ㅤㅤ➪ 28 - 48
ㅤㅤ➪ - 20
°•° L.H.S ≠ R.H.S
•°• Trial 4 was wrong
Again ,
Trial 5 ♧︎︎︎
Let the value of y = 5
☯︎ Putting the values we get
☯︎ L.H.S
ㅤㅤ➪ 4 y - 6
ㅤㅤ➪ 4 × 5 - 6
ㅤㅤ➪ 20 - 6
ㅤㅤ➪ 14
☯︎ R.H.S
ㅤㅤ➪ 7 y - 48
ㅤㅤ➪ 7 × 5 - 48
ㅤㅤ➪ 35 - 48
ㅤㅤ➪ - 13
°•° L.H.S ≠ R.H.S
•°• Trial 5 was wrong
Again ,
Trial 6 ♧︎︎︎
Let the value of y = 6
☯︎ Putting the values we get
☯︎ L.H.S
ㅤㅤ➪ 4 y - 6
ㅤㅤ➪ 4 × 6 - 6
ㅤㅤ➪ 24 - 6
ㅤㅤ➪ 18
☯︎ R.H.S
ㅤㅤ➪ 7 y - 48
ㅤㅤ➪ 7 × 6 - 48
ㅤㅤ➪ 42 - 48
ㅤㅤ➪ - 6
°•° L.H.S ≠ R.H.S
•°• Trial 6 was wrong
Again ,
Trial 7 ♧︎︎︎
Let the value of y = 7
☯︎ Putting the values we get
☯︎ L.H.S
ㅤㅤ➪ 4 y - 6
ㅤㅤ➪ 4 × 7 - 6
ㅤㅤ➪ 28 - 6
ㅤㅤ➪ 22
☯︎ R.H.S
ㅤㅤ➪ 7 y - 48
ㅤㅤ➪ 7 × 7 - 48
ㅤㅤ➪ 49 - 48
ㅤㅤ➪ 1
°•° L.H.S ≠ R.H.S
•°• Trial 7 was wrong
Again ,
Trial 8 ♧︎︎︎
Let the value of y = 8
☯︎ Putting the values we get
☯︎ L.H.S
ㅤㅤ➪ 4 y - 6
ㅤㅤ➪ 4 × 8 - 6
ㅤㅤ➪ 32 - 6
ㅤㅤ➪ 26
☯︎ R.H.S
ㅤㅤ➪ 7 y - 48
ㅤㅤ➪ 7 × 8 - 48
ㅤㅤ➪ 56 - 48
ㅤㅤ➪ 8
°•° L.H.S ≠ R.H.S
•°• Trial 8 was wrong
Again ,
Trial 9 ♧︎︎︎
Let the value of y = 9
☯︎ Putting the values we get
☯︎ L.H.Sㅤㅤ
ㅤㅤ➪ 4 y - 6
ㅤㅤ➪ 4 × 9 - 6
ㅤㅤ➪ 36 - 6
ㅤㅤ➪ 30
☯︎ R.H.S
ㅤㅤ➪ 7 y - 48
ㅤㅤ➪ 7 × 9 - 48
ㅤㅤ➪ 63 - 48
ㅤㅤ➪ 11
°•° L.H.S ≠ R.H.S
•°• Trial 9 was wrong
Again ,
Trial 10 ♧︎︎︎
Let the value of y = 10
☯︎ Putting the values we get
☯︎ L.H.Sㅤㅤ
ㅤㅤ➪ 4 y - 6
ㅤㅤ➪ 4 × 10 - 6
ㅤㅤ➪ 40 - 6
ㅤㅤ➪ 34
☯︎ R.H.Sㅤㅤ
ㅤㅤ➪ 7 y - 48
ㅤㅤ➪ 7 × 10 - 48
ㅤㅤ➪ 70 - 48
ㅤㅤ➪ 22
°•° L.H.S ≠ R.H.S
•°• Trial 10 was wrong
Again ,
Trial 11 ♧︎︎︎
Let the value of y = 11
☯︎ Putting the values we get
☯︎ L.H.Sㅤㅤ
ㅤㅤ➪ 4 y - 6
ㅤㅤ➪ 4 × 11 - 6
ㅤㅤ➪ 44 - 6
ㅤㅤ➪ 38
☯︎ R.H.S
ㅤㅤ➪ 7 y - 48
ㅤㅤ➪ 7 × 11 - 48
ㅤㅤ➪ 77 - 48
ㅤㅤ➪ 29
°•° L.H.S ≠ R.H.S
•°• Trial 11 was wrong
Again ,
Trial 12 ♧︎︎︎
Let the value of y = 12
☯︎ Putting the values we get
☯︎ L.H.Sㅤㅤ
ㅤㅤ➪ 4 y - 6
ㅤㅤ➪ 4 × 12 - 6
ㅤㅤ➪ 48 - 6
ㅤㅤ➪ 42
☯︎ R.H.S
ㅤㅤ➪ 7 y - 48
ㅤㅤ➪ 7 × 12 - 48
ㅤㅤ➪ 84 - 48
ㅤㅤ➪ 40
°•° L.H.S ≠ R.H.S
•°• Trial 12 was wrong
Again ,
Trial 13 ♧︎︎︎
Let the value of y = 13
☯︎ Putting the values we get
☯︎ L.H.S
ㅤㅤ➪ 4 y - 6
ㅤㅤ➪ 4 × 13 - 6
ㅤㅤ➪ 52 - 6
ㅤㅤ➪ 46
☯︎ R.H.S
ㅤㅤ➪ 7 y - 48
ㅤㅤ➪ 7 × 13 - 48
ㅤㅤ➪ 91 - 48
ㅤㅤ➪ 43
°•° L.H.S ≠ R.H.S
•°• Trial 13 was wrong
Now ,
Trial 14 ♧︎︎︎
Let the value of y = 14
☯︎ Putting the values we get
☯︎ L.H.S
ㅤㅤ➪ 4 y - 6
ㅤㅤ➪ 4 × 14 - 6
ㅤㅤ➪ 56 - 6
ㅤㅤ➪ 50
☯︎ R.H.S
ㅤㅤ➪ 7 y - 48
ㅤㅤ➪ 7 × 14 - 48
ㅤㅤ➪ 98 - 48
ㅤㅤ➪ 50
°•° L.H.S = R.H.S
R.H.S•°• Trial 14 is correct
ㅤㅤㅤ꧁ ʙʀᴀɪɴʟʏ×ᴋɪᴋɪ ꧂
ㅤㅤ