Stitz-Zeager_College_Algebra_e-book

490 systems of equations and matrices a lets assume

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Unformatted text preview: 3x4 = 2 (p) 0= 0 0= 0 x1 − x3 = −2 x − 1x = 0 2 24 (q) 1 x3 − 2 x4 = 1 x4 = 4 x1 − x2 − 5x3 + 3x4 = −1 1 x2 + 5x3 3x4 = 2 (r) 0= 1 0= 0 465 Consistent independent Solution 1 , 2 , 1 33 Consistent dependent 51 Solution 19 t + 13 , − 11 t + 13 13 for all real numbers t 4 13 , t Inconsistent no solution Consistent independent Solution (4, −3, 1) Consistent dependent Solution −2t − 35 , −t − 4 for all real numbers t 11 2 ,t Consistent dependent Solution (8s − t + 7, −4s + 3t + 2, s, t) for all real numbers s and t Consistent independent Solution (1, 2, 3, 4) Inconsistent No solution 2. If x is the free variable then the solution is (t, 3t, −t + 5) and if y is the free variable then the 1 solution is 3 t, t, − 1 t + 5 . 3 3. Mavis needs 20 pounds of $3 per pound coffee and 30 pounds of $8 per pound coffee. 4. Skippy needs to invest $6000 in the 3% account and $4000 in the 8% account. 5. 22.5 gallons of the 10% solution and 52.5 gallons of pure water. 6. 4 3 − 1 t...
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This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

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