Plzz 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 $

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

when will their balance be the sameur basically just subbing in 1 y for the other and u get :
11.5x + 22 = -13x + 218now we solve for x
11.5x + 13x = 218 - 22
24.5x = 196
x = 196 / 24.5
x = 8 <== they will be the same at 8 weeks

11.5(8) + 22 = 114
-13(8) + 218 = 114
and they will both have $ 114 at 8 weeks <===

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