I will give 100 points to whoever has the best answer

1. Seiji and Gavin both worked hard over the summer. Together they earned a total of $525. Gavin earned $25 more than Seiji.

(a) Write a system of equations for the situation. Use s for the amount Seiji earned and g for the amount Gavin earned.

(b) Graph the equations of the system on the graph

(c) Use your graph to estimate how much each person earned, and explain your results.

I will give 100 points to whoever has the best answer 1 Seiji and Gavin both worked hard over the summer Together they earned a total of 525 Gavin earned 25 mor class=

Respuesta :

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

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