Question

3. Seiji and Gavin both worked hard over the summer. Together they earned a total of $425. Gavin earned $25 more than Seiji.
(a) Write a system of equations for the situation. Use s for the amount Seiji earned and
g for the amount Gavin earned.
(b) Solve the system. Show your work.
(c) Graph the equations in the system.
(d) How much did each person earn?

Answer 1

@mathmate

Answer 2

Excuse my awful graph

Answer 3

@KamiBug

Answer 4

(a)
g + s = 425
s + 25 = g

(b)
To solve this system of equations, we can use the substitution method.
Let's solve the second equation for the value of s, and then plug that value in for s in the first equation. :)
s = g - 25
g + g - 25 = 425
Now we can solve this for g. Once we know g, we can plug it's value into the second equation to find s.
2g - 25 = 425
2g = 450
g = 225 <---

Now let's find s. We know g is 225 so we can plug that in for g in the second equation.
s + 25 = 225
s = ? <---

Answer 5

Well 200?

Answer 6

Ya there?

Answer 7

Yup! Gavin = $225 and Seji = $200 (200+225=$425)
So there you also have your answer to part d. :P

Answer 8

Ok now how am i supposed to draw the graph?

Answer 9

@misty1212

Answer 10

HI!!

Answer 11

Hello i have All parts completed but the graph could you show me how?

Answer 12

it is not that easy to graph \(x+y=425\) but we can to it with what you started

Answer 13

find \(425\) on the \(x\) axis, \(425\) on the \(y\) axis and connect the dots

Answer 14

x−2−1012y427426425424423

Answer 15

then the other one looks like \(y=x+25\)