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

Im Doing Solving Liner Systems By Combining And I Dont Know How To Set Up The Equation Could You Help Me class=

Sagot :

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:

[tex]x+y=16[/tex]

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

[tex]200x+165y=2745[/tex]

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

[tex]\begin{cases}x+y=16 \\ 200x+165y=2745\end{cases}[/tex]

The answer is:

[tex]\begin{cases}x+y=16 \\ 200x+165y=2745\end{cases}[/tex]