Answer: the equations are
x + y = 14000
0.077x - 0.025y = 517
Step-by-step explanation:
Let x represent the amount invested in first account.
Let y represent the amount invested in second account.
Parnell invested a total of $14000 in two accounts. It means that
x + y = 14000
After a year, first account lost 7.7%. The amount lost in the first account is 7.7/100 × x = 0.077x.
The amount left in the first account is
x - 0.077x = 0.923x
On the other account gained, he gained 2.5%.
The amount gained in the second account is 2.5/100 × y = 0.025y
The amount left in the first account is
y + 0.025y = 1.025y
Total amount in first account and second account presently is
0.923x + 1.025y
Total amount in first account and second account initially is
x + y
Amount lost is
x + y - (0.923x + 1.025y)
= 0.077x - 0.025y
In total, Parnell lost $517. Therefore
0.077x - 0.025y = 517
