Gavin and seiji both worked hard over the summer. together, they earned a total of $425. gavin earned $25 more than seiji. how much did each of them earn?
(a) write a system of two equations with two variables to model this problem.
(b) use substitution or the elimination method to solve the system.
(c) graph both equations.
(d) answer the question.

Let the money Seiji got be x and Gavin, y.

Total is 425.

So, x + y = 425

Gavin got 25 more than Seiji.

So, y = x + 25

I will use substitution method.

Substitute y = x + 25 in x + y = 425.

x + x + 25 = 425

2x + 25 = 425

2x = 400

x=$200

So, x is Seiji and he got $200.

For Gavin, substitute x in the equation of y.

y = x + 25

y = 200 + 25

y = $225

So, y is Gavin and he got $225.

For the graph part, I don't know how to show you. Hope you will be able to do the rest by yourself. If you need help with graphing, you may use desmos.com

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