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Mathematics 16 Online
OpenStudy (anonymous):

Can someone help me with graphing equations?

OpenStudy (igreen):

Sure, what's your question?

OpenStudy (anonymous):

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. I have a and b figured out but c stumps me.

OpenStudy (anonymous):

@iGreen

OpenStudy (igreen):

We can write this system of equations: g + s = 425 g = s + 25 Where g is the money Gavin earned, and s is the money Seiji earned.

OpenStudy (igreen):

We can substitute s + 25 for 'g' in the 1st equation. g + s = 425 s + 25 + s = 425 Add like terms(s + s): 2s + 25 = 425 Subtract 25 to both sides, what's 425 - 25?

OpenStudy (igreen):

@ClutzyMe21

OpenStudy (anonymous):

well, see I figured out that s = 200 and g = 225. I just don't understand how to graph the equations I came up with, which are the equations that you came up with as well.

OpenStudy (igreen):

Just use this to graph it: https://www.desmos.com/calculator Then you can just take a printscreen.

OpenStudy (igreen):

But you should change g to x and s to y.

OpenStudy (igreen):

https://www.desmos.com/calculator/i9ybhev8ki

OpenStudy (anonymous):

Oh my gosh! THANK YOU SO MUCH! I completely forgot about graphing calculators. Oh and thanks for the tip!!

OpenStudy (igreen):

No problem..your solution was (225, 200).. Remember we changed: g to x s to y Our x-term is 225, and our y-term is 200. Which means Gavin made $225, and Seiji made $200.

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