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Use two equations in two variables to solve the application.The salaries of the President and Vice President of a certain country total $572,400 a year. If the President makes $227,600 more than the Vice President, find each on their salaries (in dollars)

Respuesta :

Let the president's salary be x

Let the vice president's salary be y

The first statement of total salaries can be represented thus:

[tex]x+y=572,400[/tex]

The president making more than the vice-president can be represented thus:

[tex]x=227,600+y[/tex]

So we will substitute the x value above into the initial expression to get what their salaries will be:

[tex]\begin{gathered} x+y=572400 \\ x=227600+y \\ 227600+y+y=572400 \\ 227600+2y=572400 \\ 2y=572400-227600 \\ 2y=344800 \\ y=\frac{344800}{2} \\ y=172400 \\ x=227600+y \\ x=227600+172400 \\ x=400000 \\ \text{The president's salary is \$400,000} \\ \text{The vice-president's salary is \$172,400} \end{gathered}[/tex]