Question

I'm doing solving liner systems by combining and I don't know how to set up the equation. Could you help me?

Answer 1

Let be "x" the number of $200 per day workers and "y" the number of $165 per day workers.

You know that the total number of workers employed on the highway project is 16. Then, you can set up this first equation:

`x+y=16`

According to the information given in the exercise, the daily payroll is $2745. Knowing this, you can set up the second equation:

`200x+165y=2745`

Then having the equations, you can determine that the System of equations for this situation is:

`\begin{cases}x+y=16 \\ 200x+165y=2745\end{cases}`

The answer is:

`\begin{cases}x+y=16 \\ 200x+165y=2745\end{cases}`