Answer:
a)
[tex]\left\{\begin{matrix}g=525-s\\ g=s+25\end{matrix}\right.[/tex]
c)
Gavin earned $275
Seiji earned $250
Step-by-step explanation:
a) Denoting s as the earning of Seiji and g the earnings of Gavin, we know they together earned $525. This forms the equation
s+g=525, or equivalently
[tex]g=525-s[/tex]
We also know that Gavin earned $25 more than Seiji. It can be written as
[tex]g=s+25[/tex]
Combining both equations we get the system
[tex]\left\{\begin{matrix}g=525-s\\ g=s+25\end{matrix}\right.[/tex]
b) The graph is shown below
c) Both functions have one point in common. It's the solution of the system. We can conclude that
Gavin earned $275
Seiji earned $250
