# 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 160343: -11x = 395 + y 14y = -634 - 10x I need to solve this system of linear equations using any method. I'd like to see the steps and the correct answer. I'm not sure which method would be the easiest and I'm just stuck. Thank you for all your help. Click here to see answer by scott8148(6628)
 Question 160343: -11x = 395 + y 14y = -634 - 10x I need to solve this system of linear equations using any method. I'd like to see the steps and the correct answer. I'm not sure which method would be the easiest and I'm just stuck. Thank you for all your help. Click here to see answer by ankor@dixie-net.com(15746)

 Question 160344: -11x - 3y - 10z = 17 -12x - 5y + 2z = 84 3x - 6y + 3z = 51 I need to solve this system of linear equations using any method. I'd like to see the steps and the correct answer. I'm not sure which method would be the easiest and I'm just stuck. Thank you for all your help. Click here to see answer by scott8148(6628)

 Question 160345: -3x + y + 11z = -410 -4x - 6y + 5z = -214 -2x - 2y + 6z = -244 I need to solve this using any method, but id like to see the steps and the correct answer. I'm not sure where to start with this one, im just lost. Thank you so much for all your help. Click here to see answer by scott8148(6628)

 Question 160365: -4x - 5y - 8z = 268 -10x + 7y + 6z = -786 -12x + 9y - 2z = -548 I need to solve this using any method, but id like to see the steps and the correct answer. I'm not sure where to start with this one, im just lost. Thank you so much for all your help. I tried to do this on my own, i thought i should multiply the first equation by 3 and add to the 3rd equation,but im not sure what to do next, or if that was even where to start. Click here to see answer by scott8148(6628)

 Question 160409: hi,I have a problem solving this equation: 3p+q=11 p+q=7 santelle Click here to see answer by Earlsdon(6294)

 Question 160358: 3x - 1/2y = 5 1/3x + 1/4y = 3 Solve by elimination Answer's are X=3 and Y=8 Click here to see answer by checkley77(12569)

 Question 160484: How would I write a formula for this and how would I complete it? "A rectangle is to be drawn with perimeter 64 cm. If the length is to be 14 cm more than the width, determine the area of the rectangle." Help Please? Click here to see answer by checkley77(12569)

 Question 160537: I need to solve this using any method. Id like to see the steps and the correct answer. I think maybe I should start by multiplying the 3rd equation by 2 and then subtract it from the 1st equation? I'm trying to make sense of this but I just cant figure it out. I really appreciate your time. Thank you. Click here to see answer by vleith(2825)
 Question 160537: I need to solve this using any method. Id like to see the steps and the correct answer. I think maybe I should start by multiplying the 3rd equation by 2 and then subtract it from the 1st equation? I'm trying to make sense of this but I just cant figure it out. I really appreciate your time. Thank you. Click here to see answer by Edwin McCravy(8999)

 Question 160597: solve for z, then y, then x -z=3xy+2xz-1 Click here to see answer by checkley77(12569)

 Question 160518: -5x - 4y + 12z = -140 9x - 8y + z = -649 3x - 2y + 6z = -290 I need to solve this using any method. Id like to see the steps and the correct answer. I think mabye i should start by multiplying the 3rd equation by 3 and then subtract it from the 2nd equation? I'm trying to make sence of this but i just cant figure it out. I really appericiate your time, thank you. Click here to see answer by Fombitz(13828)

 Question 160694: im in great need on how to solve this equation i dont know how to do any of it could you please help me!?!?!?!!? 4(m+3)-2m=3(m-3) Click here to see answer by nerdybill(7008)

 Question 160708: Assume that the sales of a certain appliance dealer are approximated by a linear function. Suppose that sales were \$6500 in 1982 and \$64,500 in 1987. Let x =0 represent 1982. Find the equation giving yearly sales S(x). Available choices: S(x)= 11,600x + 6,500 S(x)= 58,000x + 64,500 S(x) = 58,000x + 6,500 S(x)= 11,600x + 64,500 Click here to see answer by gonzo(654)

 Question 160783: A High school class wants to raise money by recycling news papers. The class decides to rent a truck at the cost of \$150 for the week. The market price for recycled news papers is \$15 per ton. Write an equation represent the amount of money the class will make based on the number of tons of news papers collected. Explain. Click here to see answer by KnightOwlTutor(293)

 Question 160784: Complete the ordered pair ( ,4) so that it is the solution for x+2y=9. Click here to see answer by KnightOwlTutor(293)

 Question 160785: A man walks at the pace of 3 miles per hour. After 2 hours he stops for a rest. Let t be time after the rest when he continues to walk . Let d be the total distance traveled since he started. Write an equation linking d and t. Click here to see answer by KnightOwlTutor(293)

 Question 160725: A migrating elephant herd started moving at a rate of 6 miles per hour. One stood still and was left behind. He got nervous and began running at 10 miles per hour. He caught up to the herd in 5 minutes. How far did he run? How long in hours did he run? Click here to see answer by ankor@dixie-net.com(15746)

 Question 161077: Solve the equations by graphing. Then classify the system. x+y=9 x-y=5 What is the solution to the system? ________ Is the system consistent or inconsistent? ___ Are the equations dependent or independent? ______ Click here to see answer by jim_thompson5910(28715)

 Question 161096: Solve by the substitution method. 7x=4y= -16 -9x+y = 39 What is the solution of the system? Click here to see answer by jim_thompson5910(28715)

 Question 161201: Solve by the elimination method. 0.05x+0.25y=44 0.15x+0.05y=48 What is the solution of the system? Click here to see answer by vleith(2825)

 Question 161319: One number is equal to 4 times another number. Their diffrence is 12. Find the numbers. Click here to see answer by jojo14344(1512)

 Question 161198: Solve by the elimination method. 9x-9y=27 7y-3x= -11 What is the solution of the system? Click here to see answer by jojo14344(1512)

 Question 161196: Solve by the elimination method. 5x+2y= -11 7x-3y=19 What is the solution of the system? Click here to see answer by Fombitz(13828)

 Question 161680: this is an elimination problem i can not get it. 3x+2y=3 9x-8y=-2 Click here to see answer by jim_thompson5910(28715)

 Question 161754: Solve the system of equations using the addition (elimination) method. If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is “no solution” or “infinitely many solutions.” 5x – 4y = 1 -10x + 8y = -3 Click here to see answer by Fombitz(13828)

 Question 161751: can anyone help Find the equation, in standard form, with all integer coefficients, of the line perpendicular to x – 2y = 24 and passing through (1, 3). Click here to see answer by Alan3354(31529)

 Question 161845: adult tickets for the school musical sold for \$3.50 and student tickets sikd fir \$2.50. Three hundred twenty one tickets were sold altogether for \$937.50 How many of each kind of ticket were sold? Notice that in problems like this you have to consider two things: prices quantity of tickets sold You cannot combine them in only one equation because they represent different things; so you will need two equations. Now before we construct the two equations; lets set up our variables Let a represent adult tickets Let s represent student tickets Now lets look at what we now about these two when thinking about them in money terms: \$3.50 per adult \$2.50 per student Total made \$937.50 Lets show it algebraically: 3.50a + 2.50s=\$937.50 When thinking about the tickets in numbers we now the number sold were 321 so algebraically a + s = 321 Two equations; two variables; we can solve........... a + s = 321 ....... which is the same as.... s= 321 - a 3.50a + 2.50s = 937.50 Since s = 321-a, we can substitute this into second equation: 3.50a + 2.50(321-a)=937.50 3.50a+802.5-2.50a=937.50 3.50a-2.50a+802.5=937.50 1.00a+802.5=937.50 a=135 Then s=321-135 s=186 Check: a+s=135+186=321 check 3.50a+2.50s=3.50(135)+2.50(186)=472.50+465=937.50 check Click here to see answer by eperette(173)

 Question 161753: solve the system of equations using the addition (elimination) method. If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is “no solution” or “infinitely many solutions.” x + 2y = 5 3x + 4y = 1 Click here to see answer by elima(1433)

 Question 161882: Erica earns a salary of \$200.00 a week plus 15% commission on all sales. Juanita, new to the company has a straight commission salary of 25%. Click here to see answer by checkley77(12569)

 Question 161892: Rewrite the equation 4x - 10y = 11 as a function of x. This is what I have but I think it's wrong. 4x-10y=11 -10y=-4x+11 To get y by itself I do : y=-4/-10x+11/10 (thats -4 over -10 and 11 over -10) Simplified it would be y=-2/5x+11-10 (thats -2 over 5 and 11 over 10) What am I doing wrong?? Click here to see answer by Earlsdon(6294)

 Question 161890: 3r - 5s = -33 5r + 3s = 47 Click here to see answer by checkley77(12569)

 Question 161930: the difference between two complementary angles is 50 degrees. what is the measure of the larger angle? Click here to see answer by jim_thompson5910(28715)

 Question 162114: The Computer Store has reduced the price of a computer by 15%. What is the original price of the computer if the sale price is \$1275? Click here to see answer by checkley77(12569)

 Question 162182: how can i sketch the graph of each line? Click here to see answer by Alan3354(31529)