# 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 372542: Solve the system of equations and enter the solution as an ordered pair. 3y = 4x + 7 5y = 4x + 25 Click here to see answer by Fombitz(13828)

 Question 372657: What is the solution for this equation? 2x^2=3x-2? I first moved the 2x over then set it to = 0, but i'm not sure if that is the correct way to solve. I factored then and got 2x(x-2)-1(x-2)=0, which i then put as (2x-2)(x-2). I got the answers x=2, x=1/2. I'm confused because I am not sure if this was the way to solve, or if I should have used the quadratic formula? Click here to see answer by Fombitz(13828)

 Question 372608: Using Substition method find all solutions of the system of equations. x^2+y^2=25 , y=2x Click here to see answer by Fombitz(13828)

 Question 372684: If an object is projected vertically upward from an altitude of s(o) feet with an intial velocity of v(o) ft/sec, then its distance above the ground after t seconds is: s(t)=-16t^2+ v(o)t+ s(o). If s(1)= 64 and s(2)=66, what are s(o) and v(o)? I honestly do not know how to set the problem up! Please help, it would be greatly appreciated!Thanks :) Click here to see answer by nerdybill(6962)

 Question 372663: What is the solution for this equation? I know i had to use the u, u^2 formula for this. x^1/2+3x^1/4-10 = 0 First I let u = x^1/4 and u^2 = (x^1/2)^2= 1/2. After that I had the equation u^2+3u-10=0. I factored it to (u+5)(u-2)=0, and had u=-5,u=2. (x^1/4)^4= -5^4, (x^1/4)^4= 2^4. My solutions were x=625, x=16. Is this correct? Click here to see answer by Alan3354(30993)

 Question 372695: Please help: use the elimination method to find all solutions of the system of equation. Problem 1: 2x^2+4y=13 , x^2-y^2=7/2 Problem 2: x^2-y^2=1 , 2x^2-y^2=x+3 Click here to see answer by Fombitz(13828)

 Question 372700: A man flies an airplane from Fargo to Bismark -- a distance of 180 mi. Because he is flying into a head wind, the trip takes 2 hours. On the way back, the wind is blowing the same speed, so it takes an 1 hour and 48 mins. What is his speed in still air and how fast is the wind blowing? Click here to see answer by Alan3354(30993)

 Question 372647: How would I solve this equation? x - 1 = 2 ___ ___ _____ x+1 x-1 x^2-1 I used the LCD of x+1, x-1 and i know the answer cannot be x=1 or x=-1. I came up with the answer of x= -1 but since it cannot be that, i put the empty set symbol of 0. Please help me, if this is incorrect? thank you. Click here to see answer by Jk22(389)

 Question 372610: Use the substitution method to find all solutions of the systems of equations. x^2+y=9, x-y+3=o Click here to see answer by Fombitz(13828)

 Question 372788: How can I solve x^3 power -1 over (/) x^2 power +1 divided by 9x^2+9x+9 over (/) x^2-x Click here to see answer by solver91311(16897)

 Question 372828: What are extraneous solutions of an equation? Why do they sometimes occur in the process of solving rational or radical equations? Provide examples to support your answer. Click here to see answer by robertb(4012)

 Question 373011: Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this. -x + 6y = 54 3x + y = 9 Can someone please help me? I am completely lost and am working toward a huge deadline! Click here to see answer by jim_thompson5910(28598)

 Question 373274: (-3,___) is a solution of y = 4-3x Click here to see answer by rfer(12670)

 Question 373607: Raheel is comparing the cost of two parking garages. Garage A charges a flat fee of \$6 per car plus \$0.50 per hour. Garage B charges a flat fee of \$2 per car plus \$1 per hour. After how many hours will the cost at Garage A be the same as the cost at Garage B? What will that cost be? Click here to see answer by ewatrrr(10682)

 Question 373756: using elimination method how do i solve this 0.05x+0.05y=44 0.15x+0.05y=48 Click here to see answer by amoresroy(333)

 Question 373763: All of the exercises left out two different parts filled in with given information. They are all very similar using a & b, x & y, and g & s as the unknowns. Problem: Anita is having a bake sale at her church in order to raise money for a retreat. She needs to make \$200 throughout the weekend in order to afford the trip. She decides to make brownies which cost her \$1.50 to make 20 and cookies which cost her \$2.00 to make 24. How many brownies and cookies must she sell (minus her contribution for having the make them) in order to reach her goal? Click here to see answer by solver91311(16897)

 Question 373719: write a linear equation to model the situation. You borrow \$70 from your brother. To repay the loan, you pay him \$7 dollars per week. Click here to see answer by ewatrrr(10682)

 Question 373783: can someone please solve a system of linear equation for me, and show me how to check it, please Click here to see answer by checkley77(12569)

 Question 373800: x+y+z=32 5x+10y+25z=6.80 I'm at a loss bc I have three variables but only 2 equations. Click here to see answer by Alan3354(30993)

 Question 373831: How can i solve the equation y''-y=x I have tried to solve it by the method of reduction but i can't solve it Click here to see answer by Fombitz(13828)

 Question 373845: write the equation in standart form with integer coefficients. 5x - y + 6 = 0 & y = -3x + 9 i need help as soon as possible. thankyouu -------------------------------------------------------------------------------- Click here to see answer by Fombitz(13828)

 Question 373844: write the equation in standart form with integer coefficients. 5x - y + 6 = 0 & y = -3x + 9 i need help as soon as possible. thankyouu Click here to see answer by Fombitz(13828)

 Question 373815: I can not figure this out!!! Suppose a meter accepts nickels, dimes and quarters. You inserted a total of 32 coins with a value of \$6.80. How many of each coin did you insert? This is in the Systems of Equations section of my textbook but I've also been told that it maybe a diophantine equation. I know for a system of equations with three varibles you need 3 equations. I have figured out two of the equations. n+d+q=32 and .05n+.10d+.25q=6.80 but from there it goes blank! I appreciate any help anyone can offer!! Thanks in advance! Click here to see answer by mananth(12270)

 Question 373854: Write a linear equation to model the situation. You borrow \$70 from your brother. To repay the loan, you pay him \$7 per week. Use w to denote the number of weeks and y as the balance on the loan. please i need help as soon a posible. Click here to see answer by josmiceli(9697)

 Question 373851: Write a linear equation to model the situation. You borrow \$70 from your brother. To repay the loan, you pay him \$7 per week. Use w to denote the number of weeks and y as the balance on the loan. please i need help as soon a posible. Click here to see answer by mananth(12270)

 Question 373966: Please help me solve this question: Solve using the substitution method: r=-3s r+4s=10 I don't understand how to write it out or what numbers to use. Thanks, Deb Click here to see answer by Alan3354(30993)

 Question 373989: Solve by rearranging the equations first. Then use the multiplication principle and then use the elimination method: 3x=8y+11 x+6y-8=0 I know rearranged they are: 3x-8y=11 x+6y=8 But then I would need to take -3 times (3x-8y=11) After figuring it out my answer is y=-35 over 26. But I do not think I am right!! Please help!! Click here to see answer by jim_thompson5910(28598)

 Question 374067: Suppose you earn \$8.50/h at a bakery. From your first paycheck you determine the \$2.15/h is withheld for taxes and benefits. You work x hours during a five-day week and you spend \$3.75 each day for lunch. How many hours must I work to earn \$120 after taxes and benefits, and lunch expenses? Please help. Thank you Click here to see answer by checkley79(3050)

 Question 374023: Solve the following system of equations. x - y = 10 2x + y = 2 Explain which method you chose to solve the system and why you felt it was the best choice Click here to see answer by checkley79(3050)

 Question 374124: Solve the system of equations however you see fit. You may use substitution or elimination. y=x+1 y=-2x(minus)2 3x(minus)5y=1 2x+5y=9 Click here to see answer by mananth(12270)

 Question 374167: Solve for each system by the substitution method 6x - 3y = 3 10x = y + 7 .. 10x=[y]+7 -7 -7 ---------- 10x-7=y +7 +7 ----------- 10=y-7 +7 +7 y=17 Plug it in the first equation 6x-3(17)=y 6x-51=3 +51 +51 -------- 6x=54 /6 x=9 Check: 6(9)-3(17)=3 54-51=3 3=3 Click here to see answer by Bebita1992(4)

 Question 374174: Solve each system by addition 7x - 4y = -3 x + 2y =3 Click here to see answer by Fombitz(13828)

 Question 374172: Solve each system by addition x - 2y = -1 -x + 5y = 4 Click here to see answer by Fombitz(13828)

 Question 374197: Solve the equation for w 2w^2+12w+17=(w+5)^2 If there is more than one solution, separate them with commas. Click here to see answer by Fombitz(13828)