Solve the equations. Show steps.

1.10(n-2)=5x26
2. 4S+24-S+37+S=129

1 answer

1. 10(n-2) = 5*26
First, distribute the 10 on the left side of the equation:
10n - 20 = 130

Next, isolate the variable, n, by adding 20 to both sides:
10n = 150

Finally, divide both sides by 10 to solve for n:
n = 15

2. 4S + 24 - S + 37 + S = 129
First, combine like terms on the left side of the equation:
4S - S + S + 24 + 37 = 129
4S + 24 + 37 = 129
4S + 61 = 129

Next, subtract 61 from both sides:
4S = 68

Finally, divide both sides by 4 to solve for S:
S = 17