SOLUTION: I do not understand what to do when you have variables on both sides of the equation. EX. 3w+5/4 = >(greater than or equal to) 2w

Algebra ->  Inequalities -> SOLUTION: I do not understand what to do when you have variables on both sides of the equation. EX. 3w+5/4 = >(greater than or equal to) 2w      Log On


   



Question 501883: I do not understand what to do when you have variables on both sides of the equation. EX. 3w+5/4 = >(greater than or equal to) 2w
Found 2 solutions by Edwin McCravy, solver91311:
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
3w + 5%2F4 ≧ 2w

Clear of fractions by mutiplying through by 4

12w + 5 ≧ 8w

Subtract 5 from both sides:

    12w ≧ 8w - 5

Subtract 8w from both sides:

     4w ≧ -5

Divide both sides by 4 (which is positive so it doesn't reverse the
inequality):

      w ≧ -5%2F4

Edwin


Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


In the first place, you do not have an equation, you have an inequality. The difference in the solution process only arises if you multiply by a negative (in which case you have to reverse the sense of the inequality). Other than that, the processes are the same as solving an equation.



Add to both sides:





Add to both sides:





John

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