Exam 4: Systems of Linear Equations and Inequalities

Solve using a system of three linear equations. -Three shrimp boats supply the shrimp wholesalers on Hilton Head with fresh catch. The Annabelle takes 50% of its catch to Hudson's, 20% to Captain J's, and 30% to Mainstreet. The Curly Q takes 40% of its catch to Hudson's, 40% to Captain J's, and 20% to Mainstreet. The SloJoe takes 30% of its catch to Hudson's, 40% to Captain J's, and 30% to Mainstreet. One week Hudson's received 240.2 pounds of shrimp, Captain J's received 203.8 pounds, and Mainstreet received 158 pounds. How many pounds of shrimp did each boat catch?

Graph the system of inequalities. - y\geq2x-4 x+2y\leq7 x\geq-2 y\leq1

Use the substitution method to solve the system. -6x + 5y = -12 -4x - 2y = 0

Solve. - 5x+2y+z=-11 2x-3y-z=17 7x+y+2z=-4

If possible, solve the system of equations. Use any method. If there is not a unique solution to a system, say why. - 9x-6y=3 27x-18y=15

Graph the system of inequalities. - $x + 2 y \leq - 4$ $x - y \geq 5$

Solve the system by graphing. - 7x+y=18 7x+y=25

Use the substitution method to solve the system. -x - 4y = 8 -3x - 3y = 6

Find the solution to the system by addition (elimination) method. - x+y=1 x-y=

Solve the system by graphing. -y - 3x = 4 2y = 6x + 8

Solve the system of equations. - x+4y+2z =-4 3y+3z =-3 z =1

Solve the problem. -Corey has found that his new car gets 34 miles per gallon on the highway and 29 miles per gallon in the city. He recently drove 286 miles on 9 gallons of gasoline. How many miles did he drive on the highway? How many Miles did he drive in the city?

If possible, solve the system of equations. Use any method. If there is not a unique solution to a system, say why. - x+y=1 x-y=-1

Solve. - x-y+3z=6 5x+z=1 x+2y+z=-5 (0,-3,1)

Solve the system of equations. - x+y= -1 -5x-5y+3z= -1 x-z= 5

Solve the system of equations. If there is no solution to the system, give a reason. -Solve using the addition method. 2x+5y=-10 2x+2y=8

Solve using a system of three linear equations. -A deli sells three sizes of roast beef sandwiches: the small roast beef sandwich contains 4 ounces of meat and sells for $3.00; the regular roast beef sandwich contains 7 ounces of meat and sells for $3.50; and the large Roast beef sandwich contains 9 ounces of meat and sells for $4.00. A customer requests a selection of each size For a reception. She and the manager agree on a combination of 54 sandwiches made from 20 pounds 2 ounces Of roast beef for a total cost of $181. How many of each size sandwich will be in this combination? (Note: 1 Pound = 16 ounces)

Solve. - 2x+y+4z= -9 -x-4y+2z= -4 -3x-5y-2z=5

Graph the system of inequalities. - 3x-2y\geq-6 x-1<0

Graph the system of inequalities. - x+2y>6 y\leq3