Project #724 - intermediate algebra

1. 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 by substituting the point into each equation 2. The point (-23, 0) lies on the line -2x + 8y = 46. Determine if this point is a solution of the system -2x + 8y = 46 x – 2y = -9 3. Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this. 2x – 6y = 2 -8x + 6y = -26 4. Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this. -5x + 4y = -16 -15x + 2y = -58 5. Select the set of equations that represents the following situation: The sum of two numbers is 51, and their difference is six less than the smaller number. What are the two numbers? 2y = 51; 51 = x – 6 x + y = 51; x – y = 6 – x 2x = 51; 51 = x + 6 x + y = 51; y – x = x – 6 6. Select the set of equations that represents the following situation: Mike invested \$434 for one year. He invested part of it at 9% and the rest at 10%. At the end of the year he earned \$40.16 in interest. How much did Mike invest at each rate of interest? x + y = 434; 9x + 10y = 40.16 0.09x + 0.10y = 434; x + y = 40.16 x + y = 434; 0.09x + 0.10y = 40.16 0.09 • 434 + 0.10 • 434 = 40.16 7. A university bookstore recently sold a wirebound graph-paper notebook for \$1.08, and a college-ruled notebook for \$3.12. At the start of spring semester, a combination of 50 of these notebooks were sold for a total of \$88.68. How many of each type were sold?

 Subject Mathematics Due By (Pacific Time) 08/05/2012 10:56 pm
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