Two welders worked a total of 46 h on a project. One welder made $34/h, while the other made $39/h. If the gross earnings of the two welders was $1,669 for the job, how many hours did each welder work?

x  =  25    Total worked hours by welder winning 34 $ /h

y  =  21    Total worked hours by welder winning 39 $ /h

Step-by-step explanation:

Let call

"x" numbers of hours worked by welder winning 34 $/h

"y" numbers of hours worked by welder winning 39 $/h

Then according to problem statement

x  +  y  = 46      ⇒     y  = 46  -  x

1669  =  34*x  +  39*y     ⇒  

We got a two equation system, solving

1669  =  34*x  +  39* ( 46  -  x )  ⇒   1669   =  34*x  + 1794 - 39*x

1669 - 1794  = - 5*x      ⇒  -125 = - 5*x

x = 125/5   ⇒  x = 25

And as         y = 46 - x       y  =  46  -  25   ⇒  y  = 21  

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions