Manuel and Ruben both have bank accounts. The system of equations models their balances after x weeks.
y = 11.5x + 22
y = –13x + 218
Their balances will be the same after
weeks.
Their balances will be $
.
Their balances will be $114 after 8 weeks.
Solution:
11.5x+22 equal to -13x+218
11.5x+22=-13x+218
Now you have an equation. [ Solve for x:
11.5x+22+13x=-13x+13x+218 (add 13x to both sides)
24.5x+22=218
24.5x+22-22=218-22 (subtract 22 from both sides)
24.5x=196
x=196÷24.5
x=8
After 8 weeks their balances would be the same.
Their balances will be:
11.5x+22=11.5(8)+22=114$
and
-13x+218=-13(8)+218=114$
So, 114$ each. ]
Question
Asked 8/5/2022 4:27:14 PM
Updated 130 days ago|12/6/2025 5:53:58 PM
0 Answers/Comments
This answer has been confirmed as correct and helpful.
Rating
There are no new answers.
