when will their balance be the same.....ur basically just subbing in 1 y for the other and u get : 11.5x + 22 = -13x + 218....now 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 <===