anonymous
  • 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 already did all except C. I need help for C! Can somebody explain this to me please? (lol it rhymes.) And heres my work. G=Gavin, S= Seiji Gavin=Seiji+25;g+s=425 g+s=425 s+25+s=425 2s+25=425 2s+25+−25=425+−25 2s=400 2s/2=400/2 s=200 g=225
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
@satellite73 sorryyy, i need help pls
anonymous
  • anonymous
how do i graph both equations?
anonymous
  • anonymous
@mathmale

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mathmale
  • mathmale
So, you need help in graphing these two equations? g=s+25 g+s=425
anonymous
  • anonymous
correct! but 25 is 225.
mathmale
  • mathmale
Let's look at the first equation: g=s+225. Suppose you let s = 0. What would g be? Now suppose you let g = 0. What would s be?
anonymous
  • anonymous
oh wait
anonymous
  • anonymous
NVM of the other answer. yes its correct
mathmale
  • mathmale
No, it's 25, not 250.
mathmale
  • mathmale
Let's look at the first equation: g=s+25. Suppose you let s = 0. What would g be? Now suppose you let g = 0. What would s be?
mathmale
  • mathmale
When s=0, g= ? When g=0, s= ?
anonymous
  • anonymous
s = 425? g = 25
mathmale
  • mathmale
I wanted to look at the first equation first. Our goal is to graph this line, and to do so I am asking you to find the vertical and horizontal intercepts. Let's look at the first equation: g=s+25. Suppose you let s = 0. What would g be? Now suppose you let g = 0. What would s be?
mathmale
  • mathmale
If you let s=0 here, we get g=0+25. If you let g = 0, we get 0=s+25. Solving for s, s=-25 when g=0.
mathmale
  • mathmale
Solving g=0+25 for g, we get g=25. Let the points be (g,s). Then your vertical intercept is (0,25). Have you done this type of calculation before?
anonymous
  • anonymous
i have, but i don't really remember, since i dont practice alot lol
anonymous
  • anonymous
|dw:1450153754114:dw|
anonymous
  • anonymous
is this correct?
anonymous
  • anonymous
@mathmale dont forget about me senpai ;c
mathmale
  • mathmale
I'll respond in another minute or two.
mathmale
  • mathmale
We need to plot the two points (0,-25) and (25,0).
mathmale
  • mathmale
Note that I am assuming that g is first and s is second: (g,s) = (0, -25). |dw:1450154865939:dw|
mathmale
  • mathmale
|dw:1450155021904:dw|
anonymous
  • anonymous
|dw:1450155065826:dw|
mathmale
  • mathmale
Great. Now, we have to plot the other line. this line is g+s=425. Unfortunately, our graph is too small to show g = 425 and s = 425.
mathmale
  • mathmale
We'd need to plot (0,425) and (425,0)
mathmale
  • mathmale
If you were to draw a line thru these two points, where would the line go? would it cross the first line or not?
anonymous
  • anonymous
|dw:1450155350162:dw|
mathmale
  • mathmale
|dw:1450155474187:dw|
anonymous
  • anonymous
|dw:1450155622689:dw|
mathmale
  • mathmale
Our graph is very much "not to scale," but both of your graphs are in the right place, and you can easily see that the 2 graphs do intersect.
mathmale
  • mathmale
the most accurate way of determining the point at which they intersect is to solve the system of equations using elimination by addition / subtraction. g - s = 25 g + s =425 ------------ add these 2 equations together. s will drop out. What do you get?
mathmale
  • mathmale
Adding g and g together gives us 2g. combining -s and +s gives us zero. Combining 25 and 425 gives us 450. We thus have 2g=450. Find g.
mathmale
  • mathmale
just divide both sides of this equation by 2. we get 2g = 450 --- ---- 2 2 Please reduce this. What is the value of g?
anonymous
  • anonymous
and im dumb, thank you for the patience!!!im sorry im taking so longggg. 225?
anonymous
  • anonymous
your probably face palming right now...
mathmale
  • mathmale
No, not at all! Any questions about this problem?
anonymous
  • anonymous
nope! thank you very much!!! I really appreciate it!
mathmale
  • mathmale
Hope to work with you again in the future. Good night!
anonymous
  • anonymous
baahh, i don't want to burden you... but, i really appreciate your help. thank you again. goodnight!
mathmale
  • mathmale
Bye!

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