Problem 1SP: Solve the system by using the substitution method. 2x+y=5x2+y2=50 Problem 2SP: Solve the system by using the substitution method. x2+y2=90y=x Problem 3SP: Solve the system by using the addition method. x2+y2=17x22y2=31 Problem 4SP: Solve the system by using the addition method. x2+y2=164x2+9y2=36 Problem 5SP: The perimeter of a rectangular rug is 40ft and the area is 96ft2. Find the dimensions of the rug. Problem 1PE: A system of equations in two variables is a system in which one or more equations in the system is... Problem 2PE: A solution to a nonlinear system of equations in two variables is an pair with real valued... Problem 3PE: For Exercises 3-14, a. Graph the equations in the system. b. Solve the system by using the... Problem 4PE: For Exercises 3-14, a. Graph the equations in the system. b. Solve the system by using the... Problem 5PE: For Exercises 3-14, a. Graph the equations in the system. b. Solve the system by using the... Problem 6PE: For Exercises 3-14, a. Graph the equations in the system. b. Solve the system by using the... Problem 7PE: For Exercises 3-14, a. Graph the equations in the system. b. Solve the system by using the... Problem 8PE: For Exercises 3-14, a. Graph the equations in the system. b. Solve the system by using the... Problem 9PE: For Exercises 3-14, a. Graph the equations in the system. b. Solve the system by using the... Problem 10PE: For Exercises 3-14, a. Graph the equations in the system. b. Solve the system by using the... Problem 11PE: For Exercises 3-14, a. Graph the equations in the system. b. Solve the system by using the... Problem 12PE: For Exercises 3-14, a. Graph the equations in the system. b. Solve the system by using the... Problem 13PE: For Exercises 3-14, a. Graph the equations in the system. b. Solve the system by using the... Problem 14PE: For Exercises 3-14, a. Graph the equations in the system. b. Solve the system by using the... Problem 15PE: For Exercises 15-22, solve the system by using the addition method. (See Examples 3-4)... Problem 16PE: For Exercises 15-22, solve the system by using the addition method. (See Examples 3-4)... Problem 17PE: For Exercises 15-22, solve the system by using the addition method. (See Examples 3-4)... Problem 18PE: For Exercises 15-22, solve the system by using the addition method. (See Examples 3-4)... Problem 19PE: For Exercises 15-22, solve the system by using the addition method. (See Examples 3-4)... Problem 20PE: For Exercises 15-22, solve the system by using the addition method. (See Examples 3-4)... Problem 21PE: For Exercises 15-22, solve the system by using the addition method. (See Examples 3-4)... Problem 22PE: For Exercises 15-22, solve the system by using the addition method. (See Examples 3-4)... Problem 23PE: For Exercises 23-34, solve the system by using any method. x24xy+4y2=1x+y=4 Problem 24PE: For Exercises 23-34, solve the system by using any method. x26xy+9y2=0xy=2 Problem 25PE: For Exercises 23-34, solve the system by using any method. y=x2+4x+5y=4x+5 Problem 26PE: For Exercises 23-34, solve the system by using any method. y=x26x+9y=2x+5 Problem 27PE: For Exercises 23-34, solve the system by using any method. y=x2y=1x Problem 28PE: For Exercises 23-34, solve the system by using any method. y=1xy=x Problem 29PE: For Exercises 23-34, solve the system by using any method. x2+y42=25y=x2+9 Problem 30PE: For Exercises 23-34, solve the system by using any method. x102+y2=100x=y2 Problem 31PE: For Exercises 23-34, solve the system by using any method. y=x2+6x7y=x210x+23 Problem 32PE: For Exercises 23-34, solve the system by using any method. y=x2+6x9y=x22x3 Problem 33PE: For Exercises 23-34, solve the system by using any method. x24+y216=1x2+y=4 Problem 34PE: For Exercises 23-34, solve the system by using any method. x24+y2=1x=2y2+2 Problem 35PE: For Exercises 35-36, use the substitutions u=1x2 and v=1y2 to solve the system of equations.... Problem 36PE: For Exercises 35-36, use the substitutions u=1x2 and v=1y2 to solve the system of equations.... Problem 37PE: Find two numbers whose sum is 12 and whose product is 35 . Problem 38PE: Find two numbers whose sum is 9 and whose product is 36 . Problem 39PE: The sum of the squares of two positive numbers is 29 and the difference of the squares of the... Problem 40PE: The sum of the squares of two negative numbers is 145 and the difference of the squares of the... Problem 41PE: The difference of two positive numbers is 2 and the difference of their squares is 44 . Find the... Problem 42PE: The sum of two numbers is 4 and the difference of their squares is 64. Find the numbers. Problem 43PE: The ratio of two numbers is 3 to 4 and the sum of their squares is 225 . Find the numbers. Problem 44PE: The ratio of two numbers is 5 to 12 and the sum of their squares is 676 . Find the numbers. Problem 45PE: Find the dimensions of a rectangle whose perimeter is 36m and whose area is 80m2. Problem 46PE: Find the dimensions of a rectangle whose perimeter is 56cm and whose area is 192cm2. Problem 47PE: The floor of a rectangular bedroom requires 240ft2 of carpeting. Molding is placed around the base... Problem 48PE: An electronic sign for a grocery store is in the shape of a rectangle. The perimeter of the sign is... Problem 49PE: A rental truck has a cargo capacity of 288ft3. 10-ft pipe just fits resting diagonally on the floor... Problem 50PE: A rectangular window has a 15-yd diagonal and an area of 108yd2. Find the dimensions of the window. Problem 51PE: An aquarium is 16 in. high with volume of 4608in.3 (approximately 20gal ). If the amount of glass... Problem 52PE Problem 53PE: The hypotenuse of a right triangle is 65ft. The sum of the lengths of the legs is 11ft. Find the... Problem 54PE: The hypotenuse of a right triangle is 73 in. The sum of the lengths of the legs is 11in. Find the... Problem 55PE: A ball is kicked off the side of a hill at an angle of elevation of 30. The hill slopes downward 30... Problem 56PE: A child kicks a rock off the side of a hill at an angle of elevation of 60. The hill slopes downward... Problem 57PE: What is the difference between a system of linear equations and a system of nonlinear equations? Problem 58PE: Describe a situation in which the addition method is an efficient technique to solve a system of... Problem 59PE: The attending physician in an emergency room treats an unconscious patient suspected of a drug... Problem 60PE: A patient undergoing a heart scan is given a sample of fluorine- 1818F. After 4hr , the... Problem 61PE: The population Pt of a culture of bacteria grows exponentially for the first 72hr according to the... Problem 62PE: An investment grows exponentially under continuous compounding. After 2yr , the amount in thee... Problem 63PE: For Exercises 63-64, determine the number of solutions to the system of equations. y=2x+11+log2y=x Problem 64PE: For Exercises 63-64, determine the number of solutions to the system of equations. x2y2=0x=y Problem 65PE: For Exercises 65-70, solve the system. logx+2logy=52logxlogy=0 Problem 66PE: For Exercises 65-70, solve the system. log2x+3log2y=6log2xlog2y=2 Problem 67PE: For Exercises 65-70, solve the system. 2x+2y=64x2y=14 Problem 68PE: For Exercises 65-70, solve the system. 3x9y=183x+3y=30 Problem 69PE: For Exercises 65-70, solve the system. x12+y+12=5x2+y+42=29 Problem 70PE: For Exercises 65-70, solve the system. x+32+y22=4x12+y2=8 Problem 71PE: For Exercises 71-72, use substitution to solve the system for the set of ordered triples x,y, that... Problem 72PE: For Exercises 71-72, use substitution to solve the system for the set of ordered triples x,y, that... Problem 73PE Problem 74PE: The minimum and maximum distances from a point P to a circle are found using the line determined by... Problem 75PE: For Exercises 75-80, use a graphing utility to approximate the solution (s) to the system of... Problem 76PE: For Exercises 75-80, use a graphing utility to approximate the solution (s) to the system of... Problem 77PE: For Exercises 75-80, use a graphing utility to approximate the solution (s) to the system of... Problem 78PE: For Exercises 75-80, use a graphing utility to approximate the solution (s) to the system of... Problem 79PE: For Exercises 75-80, use a graphing utility to approximate the solution (s) to the system of... Problem 80PE: For Exercises 75-80, use a graphing utility to approximate the solution (s) to the system of... format_list_bulleted
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