Question

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

Answer 1

@satellite73
sorryyy, i need help pls

Answer 2

how do i graph both equations?

Answer 3

@mathmale

Answer 4

So, you need help in graphing these two equations?

g=s+25
g+s=425

Answer 5

correct! but 25 is 225.

Answer 6

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?

Answer 7

oh wait

Answer 8

NVM of the other answer. yes its correct

Answer 9

No, it's 25, not 250.

Answer 10

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?

Answer 11

When s=0, g= ?
When g=0, s= ?

Answer 12

s = 425?
g = 25

Answer 13

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?

Answer 14

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.

Answer 15

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?

Answer 16

i have, but i don't really remember, since i dont practice alot lol

Answer 17

is this correct?

Answer 18

@mathmale
dont forget about me senpai ;c

Answer 19

I'll respond in another minute or two.

Answer 20

We need to plot the two points (0,-25) and (25,0).

Answer 21

Note that I am assuming that g is first and s is second: (g,s) = (0, -25).