Write a system of equations in x and y describing the situation. Do not solve the system. Keiko has a total of $ 5600 comma$5600, which she has invested in two accounts. The larger account is $ 700$700 greater than the smaller account. (Let x be the amount of money in the larger account and y be the amount of money in the smaller account.)

Question

Mathematics

Matthias Kidd

5 March, 10:24

Write a system of equations in x and y describing the situation. Do not solve the system. Keiko has a total of $ 5600 comma$5600, which she has invested in two accounts. The larger account is $ 700$700 greater than the smaller account. (Let x be the amount of money in the larger account and y be the amount of money in the smaller account.)

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Answers (1)

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Baylee Friedman · Answer 1

The correct answers are x + y = 5600 and x - y = 700.

Step-by-step explanation:

Write a system of equations in x and y describing the situation. Do not solve the system.

Keiko has a total of $ 5600, which she has invested in two accounts.

Let x be the amount of money in the larger account and y be the amount of money in the smaller account.

So, Keiko has invested her $5600 in two accounts x and y.

Thus x + y = 5600.

Also, given by the problem, the larger account (x) is $ 700 greater than the smaller account (y).

Thus x - y = 700.

Thus the two system of equation in x and y describing the given situation are

x + y = 5600 and x - y = 700