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HW algebra 1 system LE

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Use the method of elimination to find the solution to the given system.. Find the solution to each of the following system of equations... Solve the homogeneous system of linear equation

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1 Use the method of elimination to find the solution to the given system

2 Find the solution to each of the following system of equations

Trang 2

3 Solve the homogeneous system of linear equations

e

2 0 0

x y z

− + =

 − + =

 + + =

f

4 Find x,y so that the matrix

1 1

x y

y x

a) is row-echelon matrix

b) is reduced row-echelon matrix

5 The director of a trust fund has $100.000 to invest The rules of the trust state that both

a certificate of deposit (CD) and a long – term bond must be used The director’s goal is

to have the trust yield $7800 on its investments for the year The CD chosen returns 5% per annum and the bond 9% Determine the amount x to invest in the CD and the amount

y to invest in the bond

6 An inheritance of $24000 is to be divided among three trusts, with the second trust receiving twice as much as the first trust The three trust pay interest annually at the rates

of 9%, 10% and 6%, respectively anf return a total in interest of %2210 at the end of the first year How much was invested in each trust?

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