I really need some help please

Question

Paula invested some money at 5% and $1000 more than that amount at 8%. If her total annual interest earned was $158, how much did she invest in each rate? Use the formula : I = Pr

Answer 1

.05x (1000+x).08 = 158

.13x= 158 - 80 = 78

x = 78/.13 = $600 invested at 5%

1000+x = $1600 invested at 8%

.05(600) + .08(1600) = 30 + 128 = 158