Loans A bank gives three loans totaling $200,000to a development company for the purchase of threebusiness properties. The largest loan is $45,000 morethan the sum of the other two. Represent the amountof money in each loan as x, y, and z, respectively.a. Write a system of two equations in three variablesto represent the problem.b. Does the system have a unique solution?c. Find the amount of the largest loan.d. What is the relationship between the remainingtwo loans?
Loans A bank gives three loans totaling $200,000to a development company for the purchase of threebusiness properties. The largest loan is $45,000 morethan the sum of the other two. Represent the amountof money in each loan as x, y, and z, respectively.a. Write a system of two equations in three variablesto represent the problem.b. Does the system have a unique solution?c. Find the amount of the largest loan.d. What is the relationship between the remainingtwo loans?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section: Chapter Questions
Problem 19PT
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Loans A bank gives three loans totaling $200,000
to a development company for the purchase of three
business properties. The largest loan is $45,000 more
than the sum of the other two. Represent the amount
of money in each loan as x, y, and z, respectively.
a. Write a system of two equations in three variables
to represent the problem.
b. Does the system have a unique solution?
c. Find the amount of the largest loan.
d. What is the relationship between the remaining
two loans?
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