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

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Question 61367: Solve the system by substitution. x + y = 12
y = 2x
Click here to see answer by tutorcecilia(2152)

Question 61372: Which of the ordered pairs (0, 0), (–2, 10), (–1, –5), (–3, 9)are solutions for the equation y = 5x?
Click here to see answer by stanbon(57290)

Question 61370: A principal of $5000 was invested in a savings account for 4 years. If the interest earned for the period was $400, what was the interest rate?
Click here to see answer by stanbon(57290)

Question 61364: A furniture store marks up items 20% (based on cost). If the furniture store buys a couch for $350, what will the selling price be?
Click here to see answer by tutorcecilia(2152)

Question 61371: Solve for b. a = 1/2 bc2
Click here to see answer by stanbon(57290)

Question 61369: Solve the system by substitution. 3x – y = –7
x + y = –9
Click here to see answer by stanbon(57290)

Question 61466: I have been going over this question for an hour now and i just can't seem to get it. Please help.
The x axis goes from –5 to 5 and the y axis goes from –3 to 7.
a) What is the slope of this line?
b) What is the horizontal intercept of this line?
c) What is the vertical intercept of this line?
d) Write an equation of the form y = mx + b for this linear function.

Click here to see answer by checkley71(8403)

Question 61390: Solve the system by substitution. 3x + 3y = 6
y = –4x – 10
Click here to see answer by funmath(2925)

Question 61527: The solid waste generated each year in the cities of the US is increasing. The solid waste generated, in millions of tons, was 82.3 in 1960 and 139.1 in 1980. The trend appears linear during this time.
A) Construct a formula for the amount of municipal solid waste generated in the US by finding the equation of the line through these two points.
B) Use this formula to predict the amount of municipal solid waste generated in the US in millions of tons in the year 2020.
Click here to see answer by tutorcecilia(2152)

Question 61537: Express the solution in the form(x,y,z,w)
3x+y-z+2w=9
x+y+2z-w=10
x-y-z+3w=-2
-x+y-z+w=-6
Please show me how th get the corret answes I've been working on this problem for 2 days now and it's due tomorrow someone pls help.
Click here to see answer by asha(30)

Question 61563: Solve the system by substitution. x + y = 12
y = 2x
Click here to see answer by asha(30)

Question 61564: Solve the system by substitution. 3x – y = –7
x + y = –9
Click here to see answer by asha(30)

Question 61566: an angle its complement always have a sum of 90 degrees the sum of the measures of the angle and five times its complement is 298 degrees. What is the measure of the angle?
Click here to see answer by asha(30)

Question 61577: Suppose you are starting an office-cleaning service. You have spent $315 on equipment. To clean each office you use $4 worth of supplies. You charge $25 per office. How many offices must you clean to break even?
Click here to see answer by stanbon(57290)

Question 61587: Merlin has 20 coins in quarters and dimes. The total value of the coins is $3.95. How many coins of each kind does he have?
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Question 61587: Merlin has 20 coins in quarters and dimes. The total value of the coins is $3.95. How many coins of each kind does he have?
Click here to see answer by joyofmath(189)

Question 61561: Solve the system. x – y = 2
3x – 3y = 6
Click here to see answer by rchill(405)

Question 61534: How do I sole these?
x + 2y = 8
5x - 6y = 8
Click here to see answer by rchill(405)

Question 61590: You are selling tickets for a musical at your local community collage. Student tickets cost $5 and general admission tickets cost $8. If you sell 500 tickets and collect $3475, how many student tickets and how many general admission.
Click here to see answer by ptaylor(2048)

Question 61574: Your teacher is giving you a test worth 100 points and containing 40 questions. There are 2-point and 4-point questions on the test. How many of each type of questions are on the test?
Click here to see answer by Earlsdon(6287)

Question 61680: please help me solve this is what I got 5x-3y=13
4x-3y=11 My answer is x=3 and y =1 I do not think this is correct. please help.
Click here to see answer by funmath(2925)

Question 61681: I sent this problem in and made an error on how it has to be solved The system is to be solved by addition. 5x-3y=13 4x-3y=11 Thanks
Click here to see answer by funmath(2925)

Question 61709: Find the missing values that solve this equation.
y = 3x
(0, ____) (-1,____) (7,____)

I don't understand how to get the missing values.
Click here to see answer by josmiceli(9669)

Question 61694: please help
Use substitution to solve for x and y
3x - y = 3
y = 2x - 1
Click here to see answer by funmath(2925)

Question 61797: a soil analysis of a lawn determines that 50 pounds of fertilizeer containing 20 % nitrogen is needed. How can this mixture be made from two different fertilizers, one containing 15% nitrogen and the other containing 24% nitrogen?
Click here to see answer by josmiceli(9669)

Question 61803: It takes a plane 5 hours to travel 3000 miles with a tailwind, but it takes the same plane 6 hours to travel the same distance with a headwind. What is the speed of the plane in still air and the speed of the wind?
Click here to see answer by stanbon(57290)

Question 61788: Kay spends 250 minutes per week exercising. Her ratio of aerobics to weight training is 7 to 5. How many minutes per week does she spend on aerobics? How many minutes per week does she spend on weight training?
Click here to see answer by stanbon(57290)

Question 61800: A library charges a fixed amount for the first day that a book is overdue and an additional charge for each day thereafter. Raoul paid $0.75 for one book that was 7 days overdue and $1.95 for a book that was 19 days overdue. Find the fixed charge and the charge for each additional day.
Click here to see answer by joyofmath(189)

Question 61847: It is 2:07 AM and I am fried. Please help.
Solve by the addition method
5x -3y= -20
3x + 2y= 7

Click here to see answer by uma(370)

Question 61802: Partners in a busness agreed to take out two loans totaling $35000. The yearly interest rates were 12% and 15%, and the total yearly interest was $4650. Find the amount of each loan.
Click here to see answer by tutorcecilia(2152)

Question 61953: The sum of two consecutive positive intergers is less than 92. Find the pair with the greatest sum.
Click here to see answer by checkley71(8403)

Question 61953: The sum of two consecutive positive intergers is less than 92. Find the pair with the greatest sum.
Click here to see answer by stanbon(57290)

Question 61953: The sum of two consecutive positive intergers is less than 92. Find the pair with the greatest sum.
Click here to see answer by joyofmath(189)

Question 61954: Maria's scores for two games in bowling were 129 and 144. What must be her lowest score in the next game in oreder to have an average greater than 140 for the three games?
Click here to see answer by joyofmath(189)

Question 61955: One type of gasohol is 10% alcohol and another type is 35% alcohol. How much of type must be mixed to obtain 400 gallons of a 25% alcohol mixture?
Click here to see answer by checkley71(8403)

Question 61952: The length of a rectangle is 4 cm less that three times its width. If the length is increased by 8 cm and the width is decreased by 2 cm, the perimeter will be 100 cm. Find the dimensions of the orifinal rectangle.
Click here to see answer by stanbon(57290)

Question 61969: why defferential equation "x*x' = 1" is non-linear ?
Click here to see answer by uma(370)

Question 61974: Ted left his home by car traveling at 40 mph. His father left two hours later traveling in the same direction at 55 mph. How many hours will it take is father to overtake him?
Click here to see answer by ankor@dixie-net.com(15647)

Question 61972: Your teacher is giving you a test worth 100 points and containing 40 questions. There are 2-point and 4-point questions on the test. How many type of question are on the test?
Click here to see answer by ankor@dixie-net.com(15647)

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