Question

I will give 100 points to whoever has the best answer

Answer 1

Answer:

a)

$\left\{\begin{matrix}g=525-s\\ g=s+25\end{matrix}\right.$

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

$g=525-s$

We also know that Gavin earned $25 more than Seiji. It can be written as

$g=s+25$

Combining both equations we get the system

$\left\{\begin{matrix}g=525-s\\ g=s+25\end{matrix}\right.$

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