Let's solve each equation step by step.
1) (k + 5) 7 - 54 = (k + 5) 4Expanding both sides:7k + 35 - 54 = 4k + 20Combine like terms:7k - 19 = 4k + 20Subtract 4k from both sides:3k - 19 = 20Add 19 to both sides:3k = 39Divide by 3:k = 13
2) 17 (c - 2) - 36 = 19 + (c - 2) 12Expanding both sides:17c - 34 - 36 = 19 + 12c - 24Combine like terms:17c - 70 = 12c - 5Subtract 12c from both sides:5c - 70 = -5Add 70 to both sides:5c = 65Divide by 5:c = 13
3) (y + 1) 18 = 36 + 12 (y + 1)Expanding both sides:18y + 18 = 36 + 12y + 12Combine like terms:18y + 18 = 12y + 48Subtract 12y from both sides:6y + 18 = 48Subtract 18 from both sides:6y = 30Divide by 6:y = 5
Therefore, the solutions are:k = 13c = 13y = 5
Let's solve each equation step by step.
1) (k + 5) 7 - 54 = (k + 5) 4
Expanding both sides:
7k + 35 - 54 = 4k + 20
Combine like terms:
7k - 19 = 4k + 20
Subtract 4k from both sides:
3k - 19 = 20
Add 19 to both sides:
3k = 39
Divide by 3:
k = 13
2) 17 (c - 2) - 36 = 19 + (c - 2) 12
Expanding both sides:
17c - 34 - 36 = 19 + 12c - 24
Combine like terms:
17c - 70 = 12c - 5
Subtract 12c from both sides:
5c - 70 = -5
Add 70 to both sides:
5c = 65
Divide by 5:
c = 13
3) (y + 1) 18 = 36 + 12 (y + 1)
Expanding both sides:
18y + 18 = 36 + 12y + 12
Combine like terms:
18y + 18 = 12y + 48
Subtract 12y from both sides:
6y + 18 = 48
Subtract 18 from both sides:
6y = 30
Divide by 6:
y = 5
Therefore, the solutions are:
k = 13
c = 13
y = 5