3. seiji and gavin 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.

Money earned by both Seiji and Gavin = $ 425

Let money earned by Seiji = $ x

then , Money earned by Gavin ⇒y = $ x + 25

Writing the statement in terms of equation, we will write it as

1. x + y = $ 425

2. y = x +25

Then it can be written as using substitution method, i.e putting the value of y in equation (1).

→ x + x + 25 = 425

→ 2 x + 25 = 425

→ 2 x = 425 - 25  [ Taking variable on side and constant on another side]

→ 2 x = 400

Dividing numerator and denominator by 2, we get

→x= 200= Amount earned by Seiji

And , y = 200 + 25 = $ 225=Amount earned by Gavin

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step-by-step explanation: