Problem 1SP: Determine if the ordered pair is a solution of the system. 3xy=10x+14y=1 a. 2,4 b. 13,9 Problem 2SP: Solve the system by using the substitution method. 3x+4y=5x3y=6 Problem 3SP Problem 4SP: Solve the system by using the addition method. 2x2y=y+1412x+76y=133 Problem 5SP Problem 6SP Problem 7SP: How many ounces of 20 and 35 acid solution should be mixed to produce 15 oz of 30 acid solution? Problem 8SP: A boat takes 3hr to go 24mi upstream against the current. It can go downstream with the current a... Problem 9SP Problem 1PE: Two or more linear equations taken together make up a of linear equations. Problem 2PE: A to a system of equations in two variables is an ordered pair that is a solution to each... Problem 3PE: Two algebraic methods to solve a system of linear equations in two variables are the method and the... Problem 4PE: A system of linear equations in two variables may have no solution. In such a case the equations... Problem 5PE: A system of equations that has no solution is called an system. Problem 6PE: A system of linear equations in two variables may have infinitely many solutions. In such a case,... Problem 7PE: For Exercises 7-10, determine if the ordered pair is a solution to the system of equations. (See... Problem 8PE: For Exercises 7-10, determine if the ordered pair is a solution to the system of equations. (See... Problem 9PE Problem 10PE: For Exercises 7-10, determine if the ordered pair is a solution to the system of equations. (See... Problem 11PE: For Exercises 11-14, a system of equations is given in which each equation is written in... Problem 12PE Problem 13PE Problem 14PE: For Exercises 11-14, a system of equations is given in which each equation is written in... Problem 15PE: For Exercises 15-20, solve the system of equations by using the substitution method. (See Example 2)... Problem 16PE: For Exercises 15-20, solve the system of equations by using the substitution method. (See Example 2)... Problem 17PE Problem 18PE: For Exercises 15-20, solve the system of equations by using the substitution method. (See Example 2)... Problem 19PE: For Exercises 15-20, solve the system of equations by using the substitution method. (See Example 2)... Problem 20PE: For Exercises 15-20, solve the system of equations by using the substitution method. (See Example 2)... Problem 21PE: For Exercises 21-28, solve the system of equations by using the addition method. (See Examples 3-4)... Problem 22PE: For Exercises 21-28, solve the system of equations by using the addition method. (See Examples 3-4)... Problem 23PE: For Exercises 21-28, solve the system of equations by using the addition method. (See Examples 3-4)... Problem 24PE: For Exercises 21-28, solve the system of equations by using the addition method. (See Examples 3-4)... Problem 25PE: For Exercises 21-28, solve the system of equations by using the addition method. (See Examples 3-4)... Problem 26PE: For Exercises 21-28, solve the system of equations by using the addition method. (See Examples 3-4)... Problem 27PE: For Exercises 21-28, solve the system of equations by using the addition method. (See Examples 3-4)... Problem 28PE: For Exercises 21-28, solve the system of equations by using the addition method. (See Examples 3-4)... Problem 29PE: For Exercises 29-34, solve the system by using any method. If a system does not have one unique... Problem 30PE: For Exercises 29-34, solve the system by using any method. If a system does not have one unique... Problem 31PE: For Exercises 29-34, solve the system by using any method. If a system does not have one unique... Problem 32PE: For Exercises 29-34, solve the system by using any method. If a system does not have one unique... Problem 33PE: For Exercises 29-34, solve the system by using any method. If a system does not have one unique... Problem 34PE: For Exercises 29-34, solve the system by using any method. If a system does not have one unique... Problem 35PE: For Exercises 35-36, a. Write the general solution. b. Find three individual solutions. Answers will... Problem 36PE: For Exercises 35-36, a. Write the general solution. b. Find three individual solutions. Answers will... Problem 37PE: For Exercises 37-50, solve the system using any method. 3x10y=19005y+800=x Problem 38PE: For Exercises 37-50, solve the system using any method. 2x7y=24004+1800=y Problem 39PE: For Exercises 37-50, solve the system using any method. 52x+y=yx8x32y=52 Problem 40PE: For Exercises 37-50, solve the system using any method. 32xy=2xx+54y=32 Problem 41PE: For Exercises 37-50, solve the system using any method. y=23x1y=16x+2 Problem 42PE: For Exercises 37-50, solve the system using any method. y=14x+7y=32x+17 Problem 43PE: For Exercises 37-50, solve the system using any method. 4x2=6y+314x38y=12 Problem 44PE: For Exercises 37-50, solve the system using any method. 114x17y=122x2y+3=20 Problem 45PE: For Exercises 37-50, solve the system using any method. 2x=y2+10.04x0.01y=0.02 Problem 46PE: For Exercises 37-50, solve the system using any method. 0.05x+0.01y=0.03x+y5=35 Problem 47PE: For Exercises 37-50, solve the system using any method. y=2.4x1.54v=3.5x+7.9 Problem 48PE: For Exercises 37-50, solve the system using any method. y=0.18x+0.129y=0.15x+0.1275 Problem 49PE: For Exercises 37-50, solve the system using any method. x28+y+12=6x22y+14=12 Problem 50PE: For Exercises 37-50, solve the system using any method. x+12y210=1x+16+y22=21 Problem 51PE: One antifreeze solution is 36 alcohol and another is 20 alcohol. How much of each mixture should be... Problem 52PE: A pharmacist wants to mix a 30 saline solution with a 10 saline solution to get 200mL of a 12 saline... Problem 53PE: A radiator has 16L of a 36 antifreeze solution. How much must be drained and replaced by pure... Problem 54PE: Jonas performed an experiment for his science fair project. He learned that rinsing lettuce in... Problem 55PE: Michelle borrows a total of $5000 in student loans from two lenders. One charges 4.6 simple interest... Problem 56PE: Juan borrows $100,000 to pay for medical school. He borrows part of the money from the school... Problem 57PE: Stuart pays back two student loans over a 4-yr period. One loan charges the equivalent of 3% simple... Problem 58PE: A total of 6000 is invested for 5yr with a total return of $1080 . Part of the money is invested in... Problem 59PE: Monique and Tara each make an ice cream sundae. Monique gets 2 scoops of Cherry ice cream and 1... Problem 60PE: Bryan and Jadyn had barbeque potato chips and soda at a football party. Bryan ate 3 oz of chips and... Problem 61PE: The average weekly salary of two employees is $1350 . One makes $300 more than the other. Find their... Problem 62PE: The average of an electrician's hourly wage and a plumber's hourly wage is $33 . One day a... Problem 63PE: A moving sidewalk in an airport moves people between gates. It takes Jason's 9-year -old daughter... Problem 64PE: A fishing boat travels along the east coast of the United States and encounters the Gulf Stream... Problem 65PE: Two runners begin at the same point on a 390-m circular track and run at different speeds. If they... Problem 66PE: Two particles begin at the same point and move at different speeds along a circular path of... Problem 67PE: A cleaning company charges $100 for each office it cleans. The fixed monthly cost of $480 for the... Problem 68PE: A vendor at a carnival sells cotton candy and caramel apples for $2.00 each. The vendor is charged... Problem 69PE: For Exercises 69-70, refer to Figure 8-1 and the narrative at the beginning of this section. Suppose... Problem 70PE: For Exercises 69-70, refer to Figure 8-1 and the narrative at the beginning of this section. The... Problem 71PE: a. Sketch the lines defined by y=2xandy=12x+5. b. Find the area of the triangle bounded by the lines... Problem 72PE: a. Sketch the lines defined by y=x+2andy=12x+2. b. Find the area of the triangle bounded by the... Problem 73PE: The centroid of a region is the geometric center. For the region shown, the centroid is the point of... Problem 74PE: The centroid of the region shown is the point of intersection of the diagonals of the parallelogram.... Problem 75PE: Two angles are complementary. The measure of one angle is 6 less than twice the measure of the other... Problem 76PE Problem 77PE: For Exercises 77-78, find the measure of angles x and y. Problem 78PE: For Exercises 77-78, find the measure of angles x and y. Problem 79PE: Write a system of linear equations with solution set 3,5. Problem 80PE: Write a system of linear equations with solution set 4,3. Problem 81PE: Find C and D so that the solution set to the system is 4,1 . Cx+5y=132x+Dy=5 Problem 82PE: Find A and B so that the solution set to the system is 5,2 . 3x+Ay=3Bxy=12 Problem 83PE: Given f(x)=mx+b, find mandbiff3=3andf12=8. Problem 84PE: Given gx=mx+b, find m and b if g2=1andg4=10. Problem 85PE: For Exercises 85-86, use the substitution u=1x and v=1y to rewrite the equations in the system in... Problem 86PE: For Exercises 85-86, use the substitution u=1x and v=1y to rewrite the equations in the system in... Problem 87PE: During a race, Marta bicycled 12 mi and ran 4 mi in a total of 1hr20min43hr. In another race, she... Problem 88PE: Shelia swam 1mi and ran 6mi in a total of 1hr15min54hr. In another training session she swam 2mi and... Problem 89PE: A certain pickup truck gets 16 mpg in the city and 22 mpg on the highway. If a driver drives 254mi... Problem 90PE: A sedan gets 12 mpg in the city and 18 mpg on the highway. If a driver drives a total of 420mi on... Problem 91PE: A system of linear equations in x and y can represent two intersecting lines, two parallel lines, or... Problem 92PE: When solving a system of linear equations in two variables using the substitution or addition... Problem 93PE: When solving a system of linear equations in two variables using the substitution or addition... Problem 94PE: Consider a system of linear equations in two variables in which the solution set is (x,x+2)x is any... Problem 95PE: A 50-lb weight is supported from two cables and the system is in equilibrium. The magnitudes of the... Problem 96PE: For Exercises 96-99, use a graphing utility to approximate the solution to the system of equations.... Problem 97PE Problem 98PE: For Exercises 96-99, use a graphing utility to approximate the solution to the system of equations.... Problem 99PE: For Exercises 96-99, use a graphing utility to approximate the solution to the system of equations.... format_list_bulleted