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Set up a system of linear equations, and then solve for the indicated quantities.Four times the smaller of two numbers plus five times the larger number is-13 .Five times the smaller number minus five times the larger number is-5 .Find the numbers.Let x represent the smaller number. Let y represent the larger number.

Solution

Set up a system of linear equations, and then solve for the indicated quantities.Four times the smaller of two numbers plus five times the larger number is -13 .Five times the smaller number minus five times the larger number is -5 .Find the numbers.Let x represent the smaller number. Let y represent the larger number.

Solution

The numbers : - 2, - 1

Solution steps

Represent the numbers with

x and y

number 1 : x

number 2 : y

A.T.Q.:

4 x + 5 y = - 13

5 x - 5 y = - 5

4 x + 5 y = - 13, 5 x - 5 y = - 5 : x = - 2, y = - 1

The numbers : - 2, - 1

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