Question

NEED HELPS FAST PLS AND THANK YOU

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

Answer 1

set each to each other since y=y

11.5x+22=y=-13x+218

11.5x+22=-13x+218
add 13x to both sides
24.5x+22=218
minus 22 both sides
24.5x=196
divide both sides by 24.5
x=8
inpus 8 for x in any equatino

y=-13(8)+218
y=-104+218
y=114

same after 8 weeks
their ballances will be $114

Answer 2

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.
Hope this was helpful.