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Mashutka [201]
2 years ago
12

Helene invested a total of $1,000 in two simple-interest bank accounts. One account paid 8% annual interest; the other paid 9% a

nnual interest. The total amount of interest she earned after one year was $86. Enter and solve a system of equations to find the amount invested in each account. Enter the interest rates in order as given in the problem. (Hint: Change the interest rates into decimals first.)
at 9%.
Mathematics
1 answer:
Lelu [443]2 years ago
4 0

Answer: -600 and 1600 were invested into the two accounts.

Step-by-step explanation:

x = amount invested in the first account.

y = amount invested in the second account.

You start off with this equation

x + y = 1000

0.08x + 0.09y=86

Subtract both sides by y.

x=1000-y

Subsitude 1000 - x for x for the second equation.

0.08(1000-y)+0.09y=$86

Use the distributive property to solve for y.

80-0.08y+0.09y=86

80-0.01y=86

6=-0.01y

=-600

Subsitude -600 for y in the first equation and solve for x.

x-600=1000

x=1600

-600 and 1600 were invested into the two accounts.

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