SOLUTION: Please can you help me solve these equations? I dont understand how to start it. Any help will be appreciated. -1 -8y = -10 -w -8 = 2 + 5w -3 -8t = 12 -3t

Algebra ->  Equations -> SOLUTION: Please can you help me solve these equations? I dont understand how to start it. Any help will be appreciated. -1 -8y = -10 -w -8 = 2 + 5w -3 -8t = 12 -3t       Log On


   



Question 578826: Please can you help me solve these equations?
I dont understand how to start it. Any help will be appreciated.
-1 -8y = -10
-w -8 = 2 + 5w
-3 -8t = 12 -3t

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
-1 -8y = -10
-w -8 = 2 + 5w
-3 -8t = 12 -3t
:
Assume you want to solve these.
Perform various operations on both sides of the equation to isolate the variable on one side (usually the left) keeping in mind that the variable has to be positive.
:
-1 - 8y = -10
add 1 to both sides
-1 + 1 -8y = -10 + 1
-8y = -9
Multiply both sides by -1 to make y positive
8y = 9
divide both sides by 8
1y = 9%2F8
or just
y = 9%2F8
:
Check the solution in the original problem, replace y with 9%2F8
-1 - 8(9/8) = -10
cancel 8 and you have
-1 - 9 = -10, equality! Solution is correct
:
:
-w -8 = 2 + 5w
Subtract 5w from both sides and you have
-w - 5w - 8 = 2
add the w's and add 8 to both sides and you have
-6w = 2 + 8
-6w - 10
W has to positive, multiply both sides by -1
6w = -10
divide both sides by 6
w = -10%2F6
:
Check solution in original problem, replace w with -10%2F6
--10%2F6 - 8 = 2 + 5*-10%2F6
minus a minus is plus
10%2F6 - 8 = 2 + -50%2F6
Change everything to 6th
10%2F6 - 48%2F6 = 12%2F6 - 50%2F6
-38%2F6 = -38%2F6; equality!
:
;
-3 - 8t = 12 - 3t
add 3 to both sides
-8t = 12 + 3 - 3t
Add 3t to both sides
-8t + 3t = 15
-5t = 15
t has to be positive, multiply both sides by -1
5t = -15
divide both side by 5
t = %28-15%29%2F5
t = -3
:
Check solution in original problem
-3 - 8(-3) = 12 - 3(-3)
-3 + 24 = 12 + 9
21 = 21
:
:
did you understand what went on here, if not, study each step carefully and let me know how you're doing. C