An employment agency specializing in temporary construction help pays heavy equipment operators $\$ 137$ per day and general laborers $\$ 94$ per day. If thirty-three people were hired and the payroll was $\$ 4435$, how many heavy equipment operators were employed? How many laborers?
The number of heavy equipment operators hired was The number of general laborers hired was

Step 1 ：Let the number of heavy equipment operators be x and the number of general laborers be y. We have two equations:

Step 2 ：\(x + y = 33\) (total number of people hired)

Step 3 ：\(137x + 94y = 4435\) (total payroll)

Step 4 ：Solve the system of linear equations to find the values of x and y.

Step 5 ：From the first equation, we can express y in terms of x: \(y = 33 - x\)

Step 6 ：Substitute this expression for y into the second equation: \(137x + 94(33 - x) = 4435\)

Step 7 ：Simplify the equation: \(137x + 3102 - 94x = 4435\)

Step 8 ：Combine like terms: \(43x = 1333\)

Step 9 ：Divide by 43: \(x = 31\)

Step 10 ：Substitute the value of x back into the expression for y: \(y = 33 - 31\)

Step 11 ：Calculate the value of y: \(y = 2\)

Step 12 ：\(\boxed{\text{The number of heavy equipment operators hired was 31, and the number of general laborers hired was 2}}\)