# Questions on Algebra: Systems of Linear Equations answered by real tutors!

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 Linear Solvers Practice Answers archive Word Problems Lessons In depth

 Question 39642: Teresa and Elaine are going on a camping trip. They will take 20 kg of dehydrated food with them. One type of food, Power Ration, costs \$3/kg while another type of food, Energy Plus, costs \$2/kg. They will spend \$52 on dehydrated food. (a) Write a linear system if equations to model this situation. (b) Find the amount of each type of food that they will take on the camping trip. Solve by graphing Click here to see answer by checkley71(8403)

 Question 39698: I can't figure out how to solve this equation 6x-3y=1 -12x+6y=-2 I need to solve using a matrix but I can't figure out how to get the answer in the back of the book. It says the answer is (3y+1/6,y) Click here to see answer by venugopalramana(3286)

 Question 39768: Hi, I will take my final exam for algebra this week and I came across this problem while studying. I would greatly appreciate it if you could answer my question. Riding a bus to and from work costs you \$5.50 round trip. You are thinking about buying a used car for \$2500. Gas and maintenance will cost you about \$.50 per trip. How many trips to work will it take to break even? I set up the equations y= 11/2x and y= 2500 + 1/2x. Are these equations right? What do I do from here? Click here to see answer by checkley71(8403)
 Question 39768: Hi, I will take my final exam for algebra this week and I came across this problem while studying. I would greatly appreciate it if you could answer my question. Riding a bus to and from work costs you \$5.50 round trip. You are thinking about buying a used car for \$2500. Gas and maintenance will cost you about \$.50 per trip. How many trips to work will it take to break even? I set up the equations y= 11/2x and y= 2500 + 1/2x. Are these equations right? What do I do from here? Click here to see answer by atif.muhammad(135)

 Question 37212: A coffee merchant has coffee beans that sell for \$9 per pound and \$12 per pound. The two types are to be mixed to create 100 lb of a mixture that will sell for \$11.25 per pound. How much of each type of bean should be used in the mixture? Click here to see answer by fractalier(2101)

 Question 39846: Please help, I'm sorry I'm not sure I'm in the right section. My partner is really struggling with algebra he needs to learn for an electrical installation course. I need a clear step by step explanation on how to transpose. I have looked as much as I can but am not sure I am looking in the right places. Here is an example Vp over VS = Np over Ns this transposes to Vs= Vp x Ns over Np Could you possibly explain the rules behind transposing to me and how the equation goes from the first example to the second. I would be extremely grateful as he is pulling his hair out with it. I hope my question makes sense Thank you Click here to see answer by AnlytcPhil(1276)
 Question 39846: Please help, I'm sorry I'm not sure I'm in the right section. My partner is really struggling with algebra he needs to learn for an electrical installation course. I need a clear step by step explanation on how to transpose. I have looked as much as I can but am not sure I am looking in the right places. Here is an example Vp over VS = Np over Ns this transposes to Vs= Vp x Ns over Np Could you possibly explain the rules behind transposing to me and how the equation goes from the first example to the second. I would be extremely grateful as he is pulling his hair out with it. I hope my question makes sense Thank you Click here to see answer by stanbon(57203)

 Question 40426: What is the x-intercept of the graph of 4x + 3y = 12 ? What is the y-intercept of the graph of 4x + 3y = 12 ? Click here to see answer by AnlytcPhil(1276)

 Question 40431: 5. Solve the system of equations using the addition (elimination) method. If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is “no solution” or “infinitely many solutions.” 6x + 2y = 2 3x + 5y = 5 Click here to see answer by junior403(76)
 Question 40431: 5. Solve the system of equations using the addition (elimination) method. If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is “no solution” or “infinitely many solutions.” 6x + 2y = 2 3x + 5y = 5 Click here to see answer by AnlytcPhil(1276)

 Question 40341: CAN SOMEONE TEACH ME HOW TO DO LINEAR INEQUALITIES? like - how do i find a boundry of a line? ex. y>x y=____ Click here to see answer by Nate(3500)

 Question 40675: Which expression describes a Linear Function that always passes through (0,0). A positive function B negative fuction C inverse variation D direct variation Click here to see answer by Nate(3500)

 Question 40667: write in standard form the equation of a line that satisfies the given conditions: x-intercept =5 and y-intercept= -4 Click here to see answer by checkley71(8403)

 Question 40702: Line 6 passes through the intersection of Line 4 and Line 5 and has a slope of 2/3. Line 4 is horizontal and passes through the point (0,9). Line 5 is vertical and passes through the point (6,-3). I need to figure out the equation for Line 6. Click here to see answer by Nate(3500)

 Question 40703: Line 2 is perpendicular to a line that passes through the points (4,-3) and (-2,6). How do I find the slope intercept (y=mx+b) and the general form (Ax+By=C)? Click here to see answer by Nate(3500)

 Question 41269: 3. y=-x-5 please solve these im not stupid the questions are just hard x=-3 4. y=x-6 y=-4 5.y=-x-4 y=x+2 6. y=x-3 y=-x+5 Click here to see answer by Nate(3500)

 Question 41272: please simplify and solve 1. 4x+y=2 x+2y=4 2. -x-5y=-6 3x+y=4 3. -3x+2y=7 x+y=-7 4.2x+3y=5 -x+2y=1 5.-x+2y=-6 4x-3y=4 6.4x+y=-6 3x-2y=1 Click here to see answer by zeynep(43)

 Question 41529: 1. Are the following lines parallel, perpendicular, or neither? L1 with equation x – 2y = 10 L2 with equation 2x + y = 2 2. Given f(x) = –x3 – 3x2 + 3x + 7, find f(–1), f(0), and f(2) Many thanks in advance since I am doing my finals! Click here to see answer by stanbon(57203)

 Question 41858: Write a system of two equations in two unknowns. Solve the system by using the substitution method. « Bill and Sue together earn \$76,433 per year. If Bill earns \$15,000 less than twice Sue’s salary, then how much does each person earn per year? » Click here to see answer by checkley71(8403)

 Question 42149: 1. The sum of three consecutive even numbers is 144. Find the numbers. 2. The sum of 4 consecutive odd integers is -88. Find the numbers. 3. Find three consecutive numbers such that 12 than less three times the first number is the same ad the sum of the other 2. 4.On a map 2 inches represents 35 miles. if two cities are 11 inches apart on a map,how many miles are they apart? Click here to see answer by checkley71(8403)

 Question 42159: Mr. Simon invests a total of \$7003 in two savings accounts. One account yields 7.5% simple interest and the other 8.5% simple interest. He would like to find the amount placed in each account if a total of \$582.33 in interest is received after one year. Write a system of linear equations to express this problem.Please explain thanks. I really need help with word problems. thanks Click here to see answer by Nate(3500)

 Question 42778: solve using the addition method 3x+2y=1 5x+3y=3 can you show me how to work this problem out? Click here to see answer by Nate(3500)
 Question 42778: solve using the addition method 3x+2y=1 5x+3y=3 can you show me how to work this problem out? Click here to see answer by tutorcecilia(2152)

 Question 42836: what are the three types of linear systems Click here to see answer by fractalier(2101)

 Question 42929: A plane took 1 hour longer to travel 560 miles on the first portion of a flight than it took to fly 480 miles on the second portion. If the speed was the same for each portion, what was the flying time for the second part of the trip? Click here to see answer by fractalier(2101)

 Question 42937: Write the equation of the line that passes through point (6,4) with a slope of 2? Click here to see answer by fractalier(2101)

 Question 43309: I'm not finding a single solution to the attached problem. It seems they would all be true. What am I missing?? Solve the system of inequalities. { x+y greater than or =16 and y greater than or =x Select the correct answer. a. { xgreater than or =8-y, y<4 and xgreater than or =y, ygreater than or =4 b. { xless than or =16-y, yless than or =12 and xless than or =y, y < 12 c. { xless than or =16-y, ygreater than or =8 and xless than or =y, y < 8 d. { xless than or =16-y, ygreater than or =5 and xless than or =y, y < 5 e. { xless than or =16-y, ygreater than or =13 and xless than or =y, y < 5 A paysite for tutoring gave me the following answer, but I don't understand. I drew the graph, but I don't understand why C is the answer. Their answer was "The value of y in immaterial, that is y >or= 8 or y < 8. Option (c)" Why is the value of Y immaterial?? If I didn't shave my head, I'd still be bald!! Thanks for any help. Click here to see answer by stanbon(57203)

 Question 43456: Use the line of best fit for the set of data below to approximate the value of y when x = 4. x -2 -1 0 1 2 y 7 6 3 2 0 a. y = -3.6 b. -0.22 c. 10.8 d. -10.8 e. None of the others Click here to see answer by venugopalramana(3286)

 Question 43455: Find the correlation coefficient for the line of best fit of the set of data below. Round your answer to three decimal places. x -2 -1 0 1 2 y 7 6 3 2 0 a. -0.988 b. -0.976 c. 1.95 d. -0.54 e. None of the others Click here to see answer by venugopalramana(3286)

 Question 43668: Find the slope and y-intercept for the linear equation 36x + 6y = 24 Click here to see answer by checkley71(8403)