975(y-361)=14625 Distribute the 975 on the left side: 975y - 975361 = 14625 975y - 352875 = 14625 Add 352875 to both sides: 975y = 368500 Divide by 975: y = 378
(30142+z)-876=49 Add 876 to both sides: 30142 + z = 925 Subtract 30142 from both sides: z = -29217
51815-:(p-975)=1205 Divide both sides by 1205: 51815 / (p-975) = 1205 Multiply both sides by (p-975): 51815 = 1205(p-975) 51815 = 1205p - 1174875 Add 1174875 to both sides: 1179690 = 1205p Divide by 1205: p = 980
13x+15x-24=60 Combine like terms: 28x - 24 = 60 Add 24 to both sides: 28x = 84 Divide by 28: x = 3
18y-7y-10=12 Combine like terms: 11y - 10 = 12 Add 10 to both sides: 11y = 22 Divide by 11: y = 2
Let's solve each of these equations step by step:
975(y-361)=14625
Distribute the 975 on the left side:
975y - 975361 = 14625
975y - 352875 = 14625
Add 352875 to both sides:
975y = 368500
Divide by 975:
y = 378
(30142+z)-876=49
Add 876 to both sides:
30142 + z = 925
Subtract 30142 from both sides:
z = -29217
51815-:(p-975)=1205
Divide both sides by 1205:
51815 / (p-975) = 1205
Multiply both sides by (p-975):
51815 = 1205(p-975)
51815 = 1205p - 1174875
Add 1174875 to both sides:
1179690 = 1205p
Divide by 1205:
p = 980
13x+15x-24=60
Combine like terms:
28x - 24 = 60
Add 24 to both sides:
28x = 84
Divide by 28:
x = 3
18y-7y-10=12
Combine like terms:
11y - 10 = 12
Add 10 to both sides:
11y = 22
Divide by 11:
y = 2
Therefore, the solutions are:
y = 378z = -29217p = 980x = 3y = 2