Tutors Answer Your Questions about Linear-systems (FREE)
Question 61952: The length of a rectangle is 4 cm less that three times its width. If the length is increased by 8 cm and the width is decreased by 2 cm, the perimeter will be 100 cm. Find the dimensions of the orifinal rectangle.
Click here to see answer by stanbon(75887) |
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(2933) |
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 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(75887) |
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 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(19441)  |
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(22740)  |
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 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(6294) |
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(22740)  |
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