# Project #723 - intermediate algebra

Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this. -7x + 7y = -7 x + 9y = 61 Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this. -3x + 4y = -19.5 -3x + y = -10.5 Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this. -2x + 3y = -37.5 -4x + 0y = -24 Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this. 5x ? 4y = 10.5 20x ? 16y = 42 Select the set of equations that represents the following situation: The cost of eight CDs and fifteen DVDs is \$186.31; and the cost of nine DVDs and thirteen CDs is \$167.09. How much do a CD and a DVD cost? (Points : 3) 8x ? 15y = 186.31; 9x ? 13y = 167.09 8x + 15y = 186.31; 13x + 9y = 167.09 8x + 15y = 186.31; 9x + 13y = 167.09 8x ? 15y = 186.31; 13x ? 9y = 167.09 Select the set of equations that represents the following situation: Mary invested one amount at 9% simple interest, and a second amount at 4% interest, earning \$17.68 in one year. If she had switched the amounts, she would have earned \$18.33. What were the two amounts? (Points : 3) 0.09x + 0.04y = 18.33; 0.09x + 0.04y = 17.68 0.09x + 0.04y = 17.68; 0.09y + 0.04x = 18.33 9x + 4y = 18.33; 9x + 4y = 17.68 9x + 4y = 17.68; 9y + 4x = 18.33 To buy both a new car and a new house, Tina sought two loans totaling \$23,067. The simple interest rate on the first loan was 6.8%, while the simple interest rate on the second loan was 7.7%. At the end of the first year, Tina paid a combined interest payment of \$1765.70. What were the amounts of the two loans? A dehydrated patient needs a 7.9% saline IV. Unfortunately, the hospital only has bags of 3% and 10% saline solutions. How many liters of each of these solutions should be mixed together to yield 3 liters of the desired concentration?

 Subject Mathematics Due By (Pacific Time) 8/5/2012
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