**1. Solve the system**

{x+3y+2z=7}

{ 5y+4z=14}

{ z=1}

**2. Solve the system**

{7x+7y+z=1}

{x+8y+8z=8}

{9x+y+9z=9}

**3. The matrix associated with the solution to a system of linear equations in x,y,& z is given. Write the solution to the system, if it exists. **

[1 -1 3 l -10]

[4 0 1 l -4 ]

[1 3 1 l -10]

**4. The matrix associated with the solution to a system of linear equations in x,y,& z is given. Write the solution to the system, if it exists.**

[1 0 2 l 2]

[0 1 -3 l 4]

[0 0 0 l 0]

**5. The matrix associated with the solution to a system of linear equations in x,y,& z is given. Write the solution to the system, if it exists.**

[1 0 4 l 2]

[0 1 1 l 4]

[0 0 0 l 0]

**6. Solve the problem.**

Linda invest $25,000 for one year. Part is invested at 5%, another part at 6%, and the rest at 8%. The total income from all 3 investments is $1600. The total income from the 5% and 6% investments is equal to the income from the 8% investment. Find the amount invested at each rate.

**7. Solve the system.**

{x^2+y^2=145}

{x-y=1}

**8. Write the inequalities that describe the constraints on production.**

The Acme Class Ring Company designs and sells two types of rings: the VIP and the SST. The company can produce up to 24 rings each day, using up to 60 total man-hours of labor. It takes 3 man-hours to make one VIP ring and 2 man-hours to makeone SST ring. Let x represent the number of VIP rings, and let y represent the number of SST rings.

A) 0≤x≤24, 0≤y≤24, 2x+37≤60

B) 0≤x≤24, 0≤u≤24, 3x+2y≤60

C) x+y≤24, 2x+3y≤60, x≥0, y≥0

D) x+y≤24, 3x+2y≤60, x≥0, y≥0

Subject | Mathematics |

Due By (Pacific Time) | 5/8/13 |

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