SOLUTION: How can one fifthx − 2 = one thirdx + 8 be set up as a system of equations? A 5y − 5x = −10 3y − 3x = 24 B 5y − 5x = −10 3y + 3x = 24

Algebra ->  Expressions-with-variables -> SOLUTION: How can one fifthx − 2 = one thirdx + 8 be set up as a system of equations? A 5y − 5x = −10 3y − 3x = 24 B 5y − 5x = −10 3y + 3x = 24       Log On


   

Question 985670: How can one fifthx − 2 = one thirdx + 8 be set up as a system of equations?
A 5y − 5x = −10
3y − 3x = 24
B 5y − 5x = −10
3y + 3x = 24

C 5y + x = −10
3y + x = 24

D 5y − x = −10
3y − x = 24
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
How can one fifthx - 2 = one thirdx + 8 be set up as a system of equations?
x%2F5+-+2+=+x%2F3+%2B+8

A
5y - 5x = -10 divide by 5 --> y - x = -2
3y - 3x = 24 divide by 3 --> y - x = 8
--> inconsistent, no solution.
B
5y - 5x = -10
3y + 3x = 24
----
y - x = -2
y + x = 8
------------------- Add
2y = 6
y = 3, x = 5
=========================
C
5y + x = -10
3y + x = 24
------------------ Subtract
2y = -34
etc.
==============================
D
5y - x = -10
3y - x = 24
---------------- Subtract
2y = -34
etc.