Tutors Answer Your Questions about Linear-systems (FREE)
Question 253245: I am trying to solve these equations. We are to graph the system and estimate the solution then check the solution algebraically:
2x-3y = -2
x+y = -6
This is what I have done so far and it isn't coming out correctly:
2x-3y = -2
2x+2=3y
2/3x + 2/3 = y
x+y= -6
x+6= -y
I plotted the line at (0,2/3) (3, 2 2/3) and at (-3, -1 1/3)
The book says I am wrong and I don't understand why. Please help!
ANy help you can give would be greatly appreciated. Thank you.
Click here to see answer by jim_thompson5910(35256)  |
Question 249847: On a canoe trip, Rita paddled upstream (against the current) at an average speed of 2 mi/h relative to the riverbank. On the return trip downstream (with the current), her average speed was 3 mi/h. Find Rita's paddling speed in still water and the speed of the river's current.
Click here to see answer by richwmiller(17219)  |
Question 253285: The tens-digit of a three digit number is 3 less than 5 times the units digit. Three times the sum of the digits is 2 more than 4 times the hundreds digit. If the digits are reversed, the new number is 594 less than the original number. Find the original number. (find a system of 3 equations then use the system to find the original number).
Click here to see answer by josmiceli(19441)  |
Question 253285: The tens-digit of a three digit number is 3 less than 5 times the units digit. Three times the sum of the digits is 2 more than 4 times the hundreds digit. If the digits are reversed, the new number is 594 less than the original number. Find the original number. (find a system of 3 equations then use the system to find the original number).
Click here to see answer by richwmiller(17219) |
Question 253285: The tens-digit of a three digit number is 3 less than 5 times the units digit. Three times the sum of the digits is 2 more than 4 times the hundreds digit. If the digits are reversed, the new number is 594 less than the original number. Find the original number. (find a system of 3 equations then use the system to find the original number).
Click here to see answer by JimboP1977(311)  |
Question 253244: The perimeter of a rectangle is 48 inches. The width of the rectangle is 2 more than half the length.
. Write a system of linear equations to model this
. Name the method you would use to solve system you wrote above
. Use the method you stated above to solve the system for the length and width of the rectangle stated above
Click here to see answer by Greenfinch(383)  |
Question 253278: A two-digit number is the same as the number with its digits reversed increased by three times the original number's unit's digit. If five times the sum of the digits is 70, find the original number. (find a system of two equations then use the system to find the original number).
Click here to see answer by checkley77(12844) |
Question 253318: An Everglades air boat travels 78 miles downstream in the same amount of time it requires to move upstream a distance of 48 miles. The boat's engines drive in still water at an average rate of 16 mph greater than the rate of the current. Find the speed of the boat and the water current. (Find the system of two equations and use the system to find the speed of the boat and the current).
Click here to see answer by palanisamy(496) |
Question 253410: Pam is playing with red and black marbles. The number of red marbles she has is three more than twice the number of black marbles she has. She has 42 marbles in all how many red marbles does Pam have?
I got 29 red marbles but i am not sure if the equation i used to solve it was correct.
2x+3=42
Click here to see answer by tushki(2) |
Question 253410: Pam is playing with red and black marbles. The number of red marbles she has is three more than twice the number of black marbles she has. She has 42 marbles in all how many red marbles does Pam have?
I got 29 red marbles but i am not sure if the equation i used to solve it was correct.
2x+3=42
Click here to see answer by richwmiller(17219) |
Question 253612: A child is holding nickels, dimes and quarters in his hand that add up to $4.95 There are the same number of dimes and quarters but there are twice as many nickels as dimes. How many nickels are there?
Click here to see answer by drk(1908) |
Question 253698: two trains leave pitsburg at the same time, one traveling east and the other traveling west. the eastbound train travels at 40miles per hour, and the westbound train travels at 30 miles per hour. let T represent the amount of time since their departure. write an equation that could be used to determine when the trains will be 245 miles apart and in how many hours will the trains be 245 miles apart?
Click here to see answer by palanisamy(496) |
Question 253868: Suppose your class sells gift wrap for $4 per package and greeting cards for $10 per package. Your class sells 205 packages in all and receives a total of $1084. Find the number of packages of gift wrap and the number of packages of greeting cards sold.
Click here to see answer by richwmiller(17219) |
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