Is the given value of this problem the solution the equation if not what is the solution to 4w - 9(6 - 5w) = 44; w = 3

Question

Is the given value of this problem the solution of the equation. If not, find the solution to

4w - 9(6 - 5w) = 44; w =3

Answer 1

One way to find out is to plug w=3 into the equation:

 

4w - 9(6-5w) = 44

4*3 - 9(6 - 5*3) = 44

 

Compute that out, and if the left hand side equals the right hand side (44), then w=3 is a solution; otherwise it's not a solution.  Another approach is to solve the equation for w:

 

4w - 9(6-5w) = 44

4w - 54 + 45w = 44

49w - 54 = 44

49w = 98

 

Finish solving for w.  If w=3 then w=3 is a solution.  If w equals another number besides 3, then w=3 is not a solution.