Answer: Sam = $225 George = $300
Step-by-step explanation:
NOTES:
Sam: s
George: g = s + 75
Together: s + g = 525
a.
The two equations that can be created are "George" and Together"
The system is: [tex]\left \{ {{\text{g = s + 75}} \atop {\text{s + g = 525}}} \right.[/tex]
b.
see attached graph
c.
The intersection of the two lines is at (225, 300). Since Sam represented the x-axis and Georege represented the y-axis, then Sam = $225 and George = $300.
BONUS:
This system can also be solved algebraically using the substitution method.
Replace "g" with "s + 75" into the second equation:
s + (s + 75) = 525
2s + 75 = 525
2s = 450
s = 225
Next, input the s-value into the George equation to solve for g:
g = s + 75 = (225) + 75 = 300
