# 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 62021: Two sides of a triangle are equal. Each of the two equal sides is twice the length of the third side. The perimeter is 90 meters. Find the length of each side. Click here to see answer by hotrodd(18)

 Question 62023: On vacation, Charlie and Gail took turns driving. The distance that Charlie drove was 115 miles less than the distance Gail drove. Together they drove 235 miles. How far did each drive? Click here to see answer by hotrodd(18)

 Question 62022: The perimeter of a rectangle is 82 yards. The width is 15 yardsless than the length. Find the length and width of the rectangle. Click here to see answer by DJ_Sammie(24)

 Question 62024: Sales tax varies directly with the cost of an item. If you pay a \$6 sales tax on a \$150 coat, what is the sales tax on a \$45 pair of shoes? Click here to see answer by hotrodd(18)

 Question 62025: The distance traveled at a constant speed varies directly as the time traveled. Denny traveled 312 miles in 6 hours. How far will he traveled in 4 1/2 hours? Click here to see answer by hotrodd(18)

 Question 62026: Two trains left the same city at the same time, traveling in opposite directions. The eastbound train travels for 10 hours, and the westbound train travels for 5 hours. They are now 1300 km apart. The westbound train's rate is 20 km/h faster than the eastbound train. Find the rate speed of each train. Click here to see answer by funmath(2925)
 Question 62026: Two trains left the same city at the same time, traveling in opposite directions. The eastbound train travels for 10 hours, and the westbound train travels for 5 hours. They are now 1300 km apart. The westbound train's rate is 20 km/h faster than the eastbound train. Find the rate speed of each train. Click here to see answer by hotrodd(18)

 Question 61990: Use the Substitution method to solve the system of equations. Give your answer as an ordered pair (x,y). x + y = -5 x - y = 3 Click here to see answer by funmath(2925)

 Question 61977: the sum f two consecutive positive integers is les than 92.Find the pair with he greatest sum. Click here to see answer by ankor@dixie-net.com(15660)

 Question 61976: Two sides of a triangle are equal. Each of the two sides is twice the length of the third side. The perimeter is 90 meters. Find the lenght of each side. Click here to see answer by ankor@dixie-net.com(15660)

 Question 62013: On number 1 I tried to use the calculator on the help page, but I didn't understand how they did it. And for number 2 I read what they had written as the description and read it over and over and looked in the book, but I was still lost and confused. (1) Solve each of the following systems. (a) x + 2y = -6 x - 2y = 14 (b) 3a - b = 0 a + 2b 7/2 (2) The equation of a straight line can be found if you are given the coordinates of two points on the line. One way to do this is to use systems of equations. The slope-intercept form for a linear equation is y = mx + b. Each point on a line must make the equation true when the coordinates are substituted for x and y. As each point is substituted, a seperate linear equation is formed; the two points produce two equations with variables m and b. Solving the system gives you the value of m and b and , thus, the equation of the line. For each of the following pairs of points, find the line which would contain each pair. (a) (-2, 3) and (1,9) (b) (1/3, 2/5) and (5/3 , 1) (c) (5, -24) and (1, 14) (d) (3, squareroot 2) and (1, 3 sqauareroot 2) Click here to see answer by stanbon(57387)

 Question 62035: Hi, I have an algebra test on Monday and I can't figure out how to find the y intercept of a y=a+bx equation. On the test we can't graph to find it, but we are given a table with input (x)and output (y) numbers, but where 0 isnt given. Thanks Click here to see answer by stanbon(57387)

 Question 62039: find the equation of the line given two points in the standard line. #55 (-1,2) and (2.3). Please help me with this equation not sure how to solve. Thanks!! Click here to see answer by checkley71(8403)

 Question 61975: the perimeter of a rectangle is 82 yards. The width is 15 yards less than the length. Find the lenght and the width of the rectangle. Click here to see answer by 303795(595)

 Question 62084: The distance traveled at a constant speed varies directly as the time traveled. Denny traveled 312 miles in 6 hours. How far he travel in 4 hours 1/2 hours? Click here to see answer by joyofmath(189)

 Question 62078: Kay spends 250 minutes exercising. Her ratio of aerobics to weight training is 7 to 5. How many minutes per week does she spends on aerobic? How many minutes per week does she spend on weight training? Click here to see answer by joyofmath(189)

 Question 62080: A soil analysis of a lawn determines 50 pounds of fertilizer containing 20 % nitrogen is needed. How can this mixture be made from two different fertilizers one containing 15 % nitrogen and the other containing 24% nitrogen? Click here to see answer by ankor@dixie-net.com(15660)

 Question 62103: A crew rowing with the current traveled 16 miles in 2 hours; against the current, the crew rowed 8 miles in 2 hours. Find the rate at which the crew is rowing in still water and the rate of the current. Click here to see answer by josmiceli(9697)

 Question 62102: I need help in finding the equation of the line in the standard form with the given conditions. 75. passes through(2,4) and is parallel to the straight line 2x+y=3 77. passes through (3,3) and is paralle to the straight line 6x+3y=9 PLEASE HELP!! I can't find the standard form to work these through. The ans the book has for 75. is 2x+y=8 and 77 is 2x+y=9. Click here to see answer by josmiceli(9697)

 Question 62100: it takes a plane 5 hours to travel 3000 miles with a tailwind, but it take the same plane 6 hours to travel the same distance with a headwind. hat is the speed of the plane in still air and speed of the wind? Click here to see answer by josmiceli(9697)

 Question 62099: sales tax varies directly with the cost of an item. If you pay \$6 sales tax on a \$150 coat, what is the sale tax on a pair of shoes that cost \$45 Click here to see answer by josmiceli(9697)

 Question 62097: Ted left his home by car traveling at 40 mph. His father left two hours later traveling in the same direction at 55 mph. How many hour will it take his father to overtake him? Click here to see answer by ankor@dixie-net.com(15660)

 Question 62096: The length of a rectangle is 4 cm less than 3 times its width. If the lenght is increased by 8 cm and the width is decreased by 2 cm, the perimeter will be 100 cm. Find the dimensions of the original rectangle. Click here to see answer by joyofmath(189)

 Question 62098: 2 trains left the same city at the same time, traveling in opposite directions. the eastbound train traveles for 10 hours, and the westbound train traveles for 5 hours. They are now 1300 km. apart. the westbound train's rate is 20 km/h faster than the eastbound train. Find the rate of the speed of each train. Click here to see answer by ankor@dixie-net.com(15660)
 Question 62098: 2 trains left the same city at the same time, traveling in opposite directions. the eastbound train traveles for 10 hours, and the westbound train traveles for 5 hours. They are now 1300 km. apart. the westbound train's rate is 20 km/h faster than the eastbound train. Find the rate of the speed of each train. Click here to see answer by joyofmath(189)

 Question 62086: Merlin has 20 coins in quarters and dimes. The total value of the coins is \$3.95. How many coins of each kind does he have? Click here to see answer by ankor@dixie-net.com(15660)

 Question 62125: This chap is asking to solve the system of equation using subsititution method but I keep getting the wrong ans. 9. 2x+y=5 x+3y=0 the book ans is (3,-1) 11. 2x+y=3 2y=-4x+6 the book ans is (Many solutions) 13. x-y=3 3y=x the book ans is (9/2,3/2) 15. 2x+y=-4 x-2y=-7 the book ans is (-3,2) 17. 4x+y=5 x-3=0 I am having problem solving using the substitution method. PLEASE HELP ME! Click here to see answer by checkley71(8403)
 Question 62125: This chap is asking to solve the system of equation using subsititution method but I keep getting the wrong ans. 9. 2x+y=5 x+3y=0 the book ans is (3,-1) 11. 2x+y=3 2y=-4x+6 the book ans is (Many solutions) 13. x-y=3 3y=x the book ans is (9/2,3/2) 15. 2x+y=-4 x-2y=-7 the book ans is (-3,2) 17. 4x+y=5 x-3=0 I am having problem solving using the substitution method. PLEASE HELP ME! Click here to see answer by Earlsdon(6287)

 Question 62036: (1) A history instructor is undecided on the amount of weight to give each type of question on his test, but knows that because of time restrictions, he can only ask a certain number of each type. If multiple-choice questions are worth 7 points each and the true-false questions worth 2 points each, the test will be worth a total of 185 points. If the multiple-choice and true-false questions are worth 4 points each, the test will be worth a total of 200 points. Find the number of multiple-choice questions and the number of true-false questions that he will have on the test. (2) My friend and I went out to lunch last week, but we did not pay attention to the cost of each item we ordered until we compared receipts. I had one soft drink and one taco. My bill showed a tax of 15 cents and a total of \$2.25. My friend had two soft drinks and three tacos. His bill showed a tax of 36 cents and a ottal of \$5.51. How much was each item (before tax)? (3) Given below are two equivalent systems of equations. Find the value of A and B. x + 2y = 2 5x - 3y = -29 and Ax + 5y = -9 x + By = 8 Click here to see answer by ankor@dixie-net.com(15660)

 Question 62082: Partners in a business agreed to take out 2 loans totaling \$35000. The yearly interest rates were 12% and 15% and the total yearly interest was \$4650. Find the amount of each loan. Click here to see answer by 303795(595)

 Question 62208: Good Evening, What is the slope of any line that is perpendicular to the line through (-3,5) and (4,-6)? Thank you. Click here to see answer by stanbon(57387)

 Question 62211: Hello, Finding the slope and Y-intercept for each line. 2y - 3x + 1 = 0 Thank you. Click here to see answer by 303795(595)

 Question 61971: An angle and its complement always have a sum of 90 degrees. The sum of the measures of the angle and five times its complement is 298 degrees. What is the measure of the angle? Click here to see answer by 303795(595)

 Question 62281: hello how do i determine whether each system is independen, inconsisitend, or dependent: 2x + 2y = 8 x + y = 4 thank you! Click here to see answer by funmath(2925)

 Question 62279: hello how do i determine whether each system is independent, inconsistene, or dependent: y = 3x - 5 y = 3x + 2 thank you Click here to see answer by funmath(2925)

 Question 62277: Hello how to solve each system by substitution: y = 2x - 8 4x + 3y = 1 thank you. Click here to see answer by funmath(2925)

 Question 62276: Hello how do i solve the system by graphing: x + y = 4 y = 2x + 1 thank you. Click here to see answer by funmath(2925)

 Question 62212: HELLO, The midpoint and length of the line segment with the given endpoints. (-9,4) and (-3,-4) Thank you. Click here to see answer by tutorcecilia(2152)
 Question 62212: HELLO, The midpoint and length of the line segment with the given endpoints. (-9,4) and (-3,-4) Thank you. Click here to see answer by funmath(2925)

 Question 62278: hello how do i sove each system by the addition method: 3x + 2y = 3 4x - 3y = -13 thank you. Click here to see answer by funmath(2925)

 Question 62298: Can you explain what it means to solve a linear system using the graph-and-check method? Click here to see answer by funmath(2925)

 Question 62206: Good evening, What is the slope of any line that is parallel to the line through (-3,-4) and (5, -1)? Thank you. Click here to see answer by checkley71(8403)