# Questions on Algebra: Expressions involving variables, substitution answered by real tutors!

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 Algebra: Expressions involving variables, substitution Solvers Lessons Answers archive Quiz In Depth

 Question 85679: Please help. I am stuck on this problem. I have a partial solution I think but I am not understanding how to do this. Could you please explain what I am supposed to be substituting in this problem and help me find the answer -if independent, inconsistent, or dependent> x-y=3 3x-2y=3 Click here to see answer by scianci(186)

 Question 85680: I am stuck on one more problem tonight. I need to solve the absolute value and graph the solution set of this problem. Please help! [x-7]<= -4 Thanks!!! Click here to see answer by scianci(186)

 Question 85591: 1.The length of a rectangle is 2 cm more than twice its width. If the perimeter of the rectangle is 52 cm, find the dimensions of the rectangle. 2. Solve and graph the solution set. 3x > 7x + 20 3.Solve and graph the solution set. 3(x – 4) > 7x – 9 Click here to see answer by ptaylor(2052)

 Question 85590: 1.The length of a rectangle is 2 cm more than twice its width. If the perimeter of the rectangle is 52 cm, find the dimensions of the rectangle. 2. Solve and graph the solution set. 3x > 7x + 20 3.Solve and graph the solution set. 3(x – 4) > 7x – 9 Click here to see answer by ptaylor(2052)

 Question 86048: Solve each of the following systems by substitution. 8x-4y=16 y=2x-4 4x-12y=5 -x+ 3y=-1 Click here to see answer by jim_thompson5910(28715)

 Question 86435: 12-3(x=1)=+17 To solve I first multiply 3 timesx then move x from right to left then add 12 and 17, I am geeting confused. Please help me solve. Thank you Click here to see answer by Earlsdon(6294)

 Question 86519: I don't know how check to make sure the answer is right. 1500/45=2000/x 1500x=2000*45 1500x=90001500x/1500=90000/1500 x=90000/1500 x=60 I know the answer is correct but I need to check it now. Could you tell me how to do that. Thank you Click here to see answer by jim_thompson5910(28715)

 Question 86522: one third of a number is 5 less than half of the same number. What is the number? Once you figure the answer how would you show your work to check to make sure it is right? Click here to see answer by Earlsdon(6294)

 Question 86607: The base of a triangle is 5 meters more than its height, and its area is 12 square meters. Find the base and the height of the triangle. [area =1/2*base*height] Click here to see answer by stanbon(57967)

 Question 86608: It takes Steven 8 hours to clean the yard and mow the yard. Steven and his brother Gregory can do the same job in three hours when they work together. How long does it take Gregory to do the job when he works alone? Click here to see answer by stanbon(57967)

 Question 86610: A co. makes a plastic piece used in cars. The co. has 5 machines that can produce the piece at different rates. For a particular job, the company needs to produce 2,718 pieces. Machine 2 produces twice as many pieces as Machine 1. Machine 3 produces 15 more than 3 times as many pieces as Machine 1. Machine 4 produces 7 less pieces than Machine 1. Machine 5 produces 10 more pieces than Machine 2. How many pieces should each machine produce? Click here to see answer by Nate(3500)

 Question 86642: I can't seem to figure out how check to make the answer is right. 3a/7=-2/5 a=-14/15 could you help me. Thank you so much!! Click here to see answer by tutorcecilia(2152)

 Question 86649: x-2/2-x+2/4=1/2 lcd=4 could you explain to me how to figure this out then check? thank you! Click here to see answer by ptaylor(2052)

 Question 86770: I'm supposed to solve this by using the substitution method and check it. I'm not sure how to do this one x=1/5y 3x+2y=26 I would appreciate the help Click here to see answer by tutorcecilia(2152)

 Question 86772: I'm not really could at solving word problems. A sail boat travels 20miles downstream in 3 hours. It returns in 4 hours. Find the speed of the sailboat in still water and the rate of the current. Could you help!! Click here to see answer by checkley75(3666)

 Question 86858: The height of a hot-air balloon was measured at different times as the balloon descended. A record of the heights and times is shown in the table below. time(t) in minutes 1 2 3 4 Height (h) in meters 76 64 44 16 Based on the table, which of the following equations expresses the relationship between h and t? (1) h = 60 + 16t (2) h = 70 + 6t (3) h = 80 - 4t (4) h = 80 - 4t squared (5) h = 90 - 14t squared I don't understand this problem at all? Could you please solve? Click here to see answer by Nate(3500)

 Question 86887: I'm not sure how to take a story problem and put it into a equation. could you help!! When the digits of a two-digit number are reversed, the new number is 9 more than the original number, and the sum of the digits of the original number is 11. What is the original number? Help!!!! How would you check it also? Thanks so much!!! Click here to see answer by Edwin McCravy(8999)

 Question 86888: Erin's age is 3 times Warren's. In 4 years she will be twice as old as he will be. How old is each now? How would you make an equation out of this? and check it? Please help!!! Click here to see answer by ankor@dixie-net.com(15746)
 Question 86888: Erin's age is 3 times Warren's. In 4 years she will be twice as old as he will be. How old is each now? How would you make an equation out of this? and check it? Please help!!! Click here to see answer by tutor_paul(490)

 Question 87005: find the value of y and x in the equation 5/x=4/y=4/3 Click here to see answer by Edwin McCravy(8999)

 Question 87019: Find a: m over z minus b over a equals u Click here to see answer by checkley75(3666)

 Question 87064: The formula P=0.64x^2-0.045x+1 models the approximate population P, in thousands, for a species of fish in a local pond, x years after 1997. During what year will the population reach 64550 fish? Click here to see answer by longjonsilver(2297)

 Question 87083: I need help with these "last" three problems please. Thank you so much! Solve each of the following systems by graphing. 1. 3x – 6y = 9 x – 2y = 3 Solve each of the following systems by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent. 1. 2x + 3y = 1 5x + 3y = 16 2. x + 5y = 10 -2x – 10y = -20 Click here to see answer by jim_thompson5910(28715)

 Question 87114: how do you solve for example: y=3x x+y=12 Click here to see answer by stanbon(57967)

 Question 87133: The sum of three consective even integers is 114 a. Define variables for the smalles integer (36)? b. Define variables to represent the 2nd and 3rd integers (38, 40)? c. Write an equation for the sum of the tree consecutive even integers. d. Solve the equation to find the three even integers. Click here to see answer by checkley75(3666)

 Question 87134: The sum of three consective even integers is 114 a. Define variables for the smalles integer (36)? b. Define variables to represent the 2nd and 3rd integers (38, 40)? c. Write an equation for the sum of the tree consecutive even integers. d. Solve the equation to find the three even integers. Click here to see answer by josmiceli(9817)

 Question 87135: The length of a rectangle is 3 in. more than the width. The perimeter of the rectangle is 24 in. a. Define the variables. b.Write the expression for the length in terms of the width. c. Substitute what you know into equation. Be sure you only have one variable. d. What is the length of the rectangle? Click here to see answer by ptaylor(2052)

 Question 87230: 4. George is 12 years older than Jeannie. The sum of their ages in 5 years will be 50. How old is Jeannie now? a. Define the variables. b. Write an expression for the age of George in terms of Jeannie's age. c. Write an equation for the sum of their ages in 5 years from now. d. Solve the equation for the age of Jeannie now. Click here to see answer by bucky(2189)

 Question 87242: Translate this sentence into mathematical symbols: five more than ten times a number equals its square root. Click here to see answer by Earlsdon(6294)

 Question 87283: 3. In captivity, the average life span of a grizzly bear is 9 years more than that of a tiger. The sum of the two average life spans is 41 years. Find the average life span of a tiger in captivity. a. Define the variables. A = average sum B = bears life span T = tiger life span b. Write the expression for the life span of a grizzly bear in terms of the life span of a tiger. A = B + T and T = B - 9 c. Write an equation for the sum of their life spans in term of one variable. A = B+T 41= d. Solve the equation for the life span of a tiger. Click here to see answer by rossiv53(27)

 Question 87447: Business and finance. When x number of units are sold, the price of each unit (in dollars) is given by: p= -x/2 + 75 Find the unit price when the following quantities are sold: 2, 7, 9, 11. Click here to see answer by rapaljer(4667)

 Question 87446: Science and medicine. Celsius temperature readings can be converted to Fahrenheit readings using the formula: F=9/5 C +32 What is the Fahrenheit temperature that corresponds to each of the following Celsius temperatures: -10, 0, 15, 100? Click here to see answer by rapaljer(4667)

 Question 87496: If a ball is tossed into the air from a height of 6 feet with a velocity of 32 feet per second, then its altitude at time t(in seconds) can be described by the function A(t)= -16t^2 + 32t + 6 Find the altitude of the ball at 2 seconds. Click here to see answer by rapaljer(4667)

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