# Questions on Algebra: Systems of Linear Equations answered by real tutors!

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## Tutors Answer Your Questions about Linear-systems (FREE)

 Question 122773: How old are they? If Christine's and Martine's ages are added, the total is 51 years. If Christine were 6 years older and Martine were 3 years younger, the two women would be the same age. a)represent this situation by system of equations. b)how old are the two women? Click here to see answer by ankor@dixie-net.com(15660)

 Question 122809: find the slope of the line that passes through the points (-4,1) and (3,8) Click here to see answer by jim_thompson5910(28598)

 Question 122871: Solve the system by addition. 2x  4y = 7 4x + 2y = 1 Click here to see answer by checkley71(8403)
 Question 122871: Solve the system by addition. 2x  4y = 7 4x + 2y = 1 Click here to see answer by jim_thompson5910(28598)

 Question 122873: The sum of two numbers is 38. Their difference is 12. What are the two numbers? the answer is 2x=50 that is right i know the answer but i dont know how to set the problem problem up can some one show me Click here to see answer by checkley71(8403)
 Question 122873: The sum of two numbers is 38. Their difference is 12. What are the two numbers? the answer is 2x=50 that is right i know the answer but i dont know how to set the problem problem up can some one show me Click here to see answer by jim_thompson5910(28598)

 Question 122872: ELIMINATION: How do you figure this out using ELIMINATION: 5x + 3y = 1.5 -8x - 2y = 20 Click here to see answer by jim_thompson5910(28598)

 Question 122917: Solve the system by addition. 4x  8y = 5 8x + 4y = 5 Click here to see answer by jim_thompson5910(28598)
 Question 122917: Solve the system by addition. 4x  8y = 5 8x + 4y = 5 Click here to see answer by checkley71(8403)

 Question 123015: Which of the following is a simplified expression equal to 9-x(squared) ------------ x-3 for all x< -3? A. 3x B. x+3 C. x-3 D. -x+3 E. -x-3 Click here to see answer by jim_thompson5910(28598)
 Question 123015: Which of the following is a simplified expression equal to 9-x(squared) ------------ x-3 for all x< -3? A. 3x B. x+3 C. x-3 D. -x+3 E. -x-3 Click here to see answer by Mokona!(3)

 Question 122845: I struggle with word problems and I am really struggling with these two. If someone could please help me understand these I would be very grateful. I have been working on these two problems for 2 days and I believe I am confusing myself due to the nature of the problem. Thanks!! Question 1 A small company produces both standard and deluxe playhouses. The standard playhouses take 12 hours of labor to produce, and the deluxe playhouses take 20 hours. The labor available is limited to 800 hours per week, and the total production capacity is 50 items per week. Existing orders require the company to produce at least 10 standard playhouses and 15 deluxe playhouses per week. Write a system of inequalities representing this situation, where x is the number of standard playhouses and y is the number of deluxe playhouses. Then graph the system of inequalities. Question 2 A home-based company produces both hand-knitted scarves and sweaters. The scarves take 2 hours of labor to produce, and the sweaters take 14 hours. The labor available is limited to 40 hours per week, and the total production capacity is 5 items per week. Write a system of inequalities representing this situation, where x is the number of scarves and y is the number of sweaters. Then graph the system of inequalities. Click here to see answer by ankor@dixie-net.com(15660)

 Question 123018: For all nonzero r.t. and z values, 16r(cubed)tz(to the 5th power) -------------------------------= ?? -4rt(cubed)z(squared) please explain how you got it Click here to see answer by stanbon(57395)

 Question 123099: Please help me with the following: Solve by substitution x + y = 12 y = 2x Solve by addition 5x - 3y = 13 4x - 3y = 11 Click here to see answer by johnnico6426(16)

 Question 123102: Please help me? Solve 2/5x - 6 = 12 Solve by addition 5x - 3y = 13 4x - 3y = 11 Click here to see answer by bucky(2189)

 Question 123117: Please help me? solve for x 3x -2y = 6 Click here to see answer by bucky(2189)

 Question 123122: Please help? What is the property of real numbers is: 12 + 1 = 1 + 12? Click here to see answer by Earlsdon(6287)

 Question 123160: Write equation of line in slope intercept form y intercept=-3 and x intercept=5 Click here to see answer by MathLover1(6638)

 Question 123240: Erza and tava sold at least 150 cupon books. Erza sold at most 30 books more than twice the number tava sold. Show and describe all possible combinations of the numbers of cupon books erza and tava sold. List two possible combinations. Click here to see answer by ontmtnbike(2)

 Question 123287: I have a problem (8th grade) that I can't get started on. "a group of friends eat at a restaurant and agreed to split the \$6.00 bill equally. Two men left without paying and the remaining others were assessed .25 more. How many men in the party originally?" It seems like a linear equation that has 2 variables. How much did each spend and how many men. I can't put it into equation form. Click here to see answer by Superownage(7)
 Question 123287: I have a problem (8th grade) that I can't get started on. "a group of friends eat at a restaurant and agreed to split the \$6.00 bill equally. Two men left without paying and the remaining others were assessed .25 more. How many men in the party originally?" It seems like a linear equation that has 2 variables. How much did each spend and how many men. I can't put it into equation form. Click here to see answer by stanbon(57395)
 Question 123287: I have a problem (8th grade) that I can't get started on. "a group of friends eat at a restaurant and agreed to split the \$6.00 bill equally. Two men left without paying and the remaining others were assessed .25 more. How many men in the party originally?" It seems like a linear equation that has 2 variables. How much did each spend and how many men. I can't put it into equation form. Click here to see answer by scott8148(6628)
 Question 123287: I have a problem (8th grade) that I can't get started on. "a group of friends eat at a restaurant and agreed to split the \$6.00 bill equally. Two men left without paying and the remaining others were assessed .25 more. How many men in the party originally?" It seems like a linear equation that has 2 variables. How much did each spend and how many men. I can't put it into equation form. Click here to see answer by checkley71(8403)

 Question 123310: write an equation in standard form with integer coefficients -4y+6x+7=0 Click here to see answer by rebeccam(1)

 Question 123319: write the standard form of the equation of the line that passes through the given points. (2,-5), (8,1) Click here to see answer by chitra(359)

 Question 123206: I got this question on my reveiw sheet, can anyone herlp me? Brad sold tickets to a track meet. It cost \$6 for an adult ticket and \$3 for a student ticket. Let x represent the number of adult tickets sold and let y represent the number of student tickets sold. Find the intercepts. What does each intersept represent? I guess I need to find the y and x intercepts then tell what the intercepts represent.... HELP!!!!!!!!!!!!!! Click here to see answer by ankor@dixie-net.com(15660)

 Question 123342: 4. Find values for m and b in the following system so that the solution to the system is (-3, 4). 5x + 7y = b mx + y = 22 Click here to see answer by jim_thompson5910(28598)

 Question 123343: Solve each of the following systems by graphing. 1. 2x  y = 4 2x  y = 6 Click here to see answer by jim_thompson5910(28598)

 Question 123346: Solve each of the following systems by graphing. 2. x  2y = 8 3x  2y = 12 Click here to see answer by jim_thompson5910(28598)

 Question 123347: Solve each of the following systems by graphing. 3. 3x  6y = 9 X  2y = 3 Click here to see answer by jim_thompson5910(28598)

 Question 123348: Solve each of the following systems by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent. 5. 2x + 3y = 1 5x + 3y = 16 Click here to see answer by jim_thompson5910(28598)

 Question 123349: Solve each of the following systems by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent. 6. x + 5y = 10 -2x  10y = -20 Click here to see answer by jim_thompson5910(28598)

 Question 123351: 7. Number problems. Jill has \$3.50 in nickels and dimes. If she has 50 coins, how many of each type of coin does she have? Click here to see answer by jim_thompson5910(28598)

 Question 123352: 8. Business and finance. A coffee merchant has coffee beans that sell for \$9 per pound and \$12 per pound. The two types are to be mixed to create 100 lb of a mixture that will sell for \$11.25 per pound. How much of each type of bean should be used in the mixture? Click here to see answer by jim_thompson5910(28598)

 Question 123354: Solve each of the following systems by substitution. 9. 5x  2y = -5 y -5x = 3 Click here to see answer by jim_thompson5910(28598)

 Question 123355: Solve each of the following systems by substitution. 10. 8x  4y = 16 y = 2x  4 Click here to see answer by jim_thompson5910(28598)

 Question 123356: Solve each of the following systems by substitution. 11. 4x  12y = 5 -x + 3y = -1 Click here to see answer by jim_thompson5910(28598)

 Question 123357: Solve each of the following systems by using either addition or substitution. If a unique solution does not exist, state whether the system is dependent or inconsistent. 12. 10x + 2y = 7 y = -5x + 3 Click here to see answer by jim_thompson5910(28598)

 Question 123441: Your math teacher tells you that next week's test is worth 100 points and contains 38 problems. Each problem is worth either 5 points or 2 points. Because you are studying for systems of linear equations, your teacher says that for extra credit you can figure out how many problems of each value are on the test. How many of each value are there? Click here to see answer by jim_thompson5910(28598)

 Question 123454: The directions say Use linear combinations to solve the system of linear equations. I tried to work this problem, but my teacher didn't go over it clearly. The problem is x-y=0 -3x-y=2. I don't know what to multiply so that the x or y value leaves the equation so i can solve it Click here to see answer by solver91311(16897)

 Question 123558: SUBSTITUTION: 8x=-2y-10 2x=4y Click here to see answer by chitra(359)

 Question 123629: 13. Social science. In a town election, the winning candidate had 220 more votes than the loser. If 810 votes were cast in all, how many votes did each candidate receive? Click here to see answer by jim_thompson5910(28598)

 Question 123630: 14. Geometry. The perimeter of an isosceles triangle is 37 in. The lengths of the two equal legs are 6 in. less than 3 times the length of the base. Find the lengths of the three sides. Click here to see answer by jim_thompson5910(28598)

 Question 123631: Solve each of the following systems of linear inequalities graphically. 15. 3x  y ≤ 6 x ≥ 1 y ≤ 3 Click here to see answer by jim_thompson5910(28598)

 Question 123632: Draw the appropriate graphs in each of the following. A small firm produces both AM and AM/FM car radios. The AM radios take 15 h to produce, and the AM/FM radios take 20 h. The number of production hours is limited to 300 h per week. The plants capacity is limited to a total of 18 radios per week, and existing orders require that at least 4 AM radios and at least 3 AM/FM radios be produced per week. Write a system of inequalities representing this situation. Then, draw a graph of the feasible region given these conditions, in which x is the number of AM radios and y the number of AM/FM radios. Click here to see answer by jim_thompson5910(28598)

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