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

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Question 910288: Adding unity to the numerator as well as the denominator of a fraction makes it equal to 4/5. Subtracting 5 from each makes it equal to 1/2. What is the fraction?
Click here to see answer by richwmiller(17219)

Question 910319: Solve the system
x+2y=0
3x-y=3
This is what I did, but I am unsure if it is correct so far:
x+2y=0
-2y -2y
x=-2y
3(-2y)-y=3
-6y-y=3
-7y=3
y=3/-7
Click here to see answer by rothauserc(4718)

Question 910581: mark is piloting a plane at 12,000 feet and begins to descends at a rate of 250 feet per minute. At same time, Debbie is 6,000 feet in her plane and begins to climb at a rate of 60 feet per minute. write a system of equations representing the situation.

Click here to see answer by josmiceli(19441)

Question 910719: A train takes 7 hours to travel from Station A to Station B. If its speed is increased by 10km/h. It will take 1 hour less to complete the journey. Find the distance between the two stations.
Click here to see answer by mananth(16946)

Question 910925: Find slope and y intercept of line 16x+2y=72
Click here to see answer by MathLover1(20850)

Question 910925: Find slope and y intercept of line 16x+2y=72
Click here to see answer by lwsshak3(11628)

Question 910958: Find the slope x and y intercepts
x=3
Click here to see answer by richwmiller(17219)

Question 910962: Write an equation in slope int form
Thru (-4, 6) perp to y=4/5x+4
Click here to see answer by MathLover1(20850)

Question 910956: Find the slope x and y intercepts
y=2/3x+1
Click here to see answer by richwmiller(17219)

Question 909537: I am having trouble helping my son with the below problem .
Tom's father is 3 times old as Tom. 4 years ago, he was 4 times as older. How old is Tom?
Not sure how to set this up and solve. Can you help me?
Click here to see answer by richwmiller(17219)

Question 911171: At a price of $2.50 per bushel, the annual US supply and demand for corn are 8.5 and 9.8 million bushels,respectively. When the price rises to $3.30, the supply increases to 10.5 million bushels, while the demand decreases to 7.8 bushels.
A) assuming that the price-supply and the price-demand equations are linear, find equations for each.
B) Find the equilibrium point for the US corn market.
Click here to see answer by ewatrrr(24785)

Question 911132:
Click here to see answer by Alan3354(69443)

Question 910867: how do you make a system of three linear equations in three variables for which the solution set is (0,0,0)? why is the set called homogeneous system?
Click here to see answer by Fombitz(32388)

Question 910711: X-3y+3z=-11 2x-z=8 and 3y+z=10

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Question 911299: substitution to solve the system.
x-4y=4
-x+4y=-4
Click here to see answer by Fombitz(32388)

Question 911401: Solve the system by either substitution or the elimination method, if possible. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, enter INFINITELY MANY.)
3x + 12y = −45
x = 3y + 27

Click here to see answer by ichigo449(30)

Question 911442: Use the elimination method to solve the system. If there is no solution, or infinitely many solutions, so indicate. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, enter INFINITELY MANY.)

2x + 5y − 15 = 0
−2x + 15 = 5y

Click here to see answer by josgarithmetic(39617)

Question 911431: Use the elimination method to solve the system.
7x−y=39
8x−y=47

Click here to see answer by Fombitz(32388)

Question 911607: Find the solution set for this equation.
y2 + 12y = 0
Separate the two values with a comma.
Click here to see answer by JoelSchwartz(130)

Question 911593: express the price(p) in terms of the demand (x)
x=4000-40p
Click here to see answer by Fombitz(32388)

Question 911593: express the price(p) in terms of the demand (x)
x=4000-40p
Click here to see answer by MathLover1(20850)

Question 911749: How many solutions does this system have? Explain. 6y+5x=8 2.5x+3y=4
Click here to see answer by ichigo449(30)

Question 911864: A picture's perimeter is 16 inches. The width is one inch more than the length. How much is the width?
Click here to see answer by rfer(16322)

Question 911916: My grandma is three times as old as I am. She was 60 when I was born. How old is she now?
Click here to see answer by Alan3354(69443)

Question 912011: Brianna's family spent $134 on 2 adult tickets and 3 youth tickets at an amusement park. Max's family spent $146 on 3 adult tickets and 2 youth tickets. What is the price of a youth ticket?
Click here to see answer by mananth(16946)

Question 912114: 3y − x = −16
2x − 5y = 25
Please solve the system of equations.
Click here to see answer by MathLover1(20850)

Question 912132: Maya and Rena bought a 60 minute phone card to call their mom in Ghana. Maya used three times as many minutes as Rena. How many minutes did each girl use?
Click here to see answer by JulietG(1812)

Question 912223: An exam worth 100 points contains 30 questions. Multiple choice questions are worth 2 points and short answer questions are worth 4 points. How many of each type of question are on the test?
Click here to see answer by jim_thompson5910(35256)

Question 912241: A class of 195 students went on a field trip. They took 7 vehicles, some cars and some buses. Find the number of cars and the number of buses they took if each car holds 5 students and each bus hold 45 students.
Click here to see answer by MathLover1(20850)

Question 912288: 2/7y-1/2y=3/4y+1
Click here to see answer by stanbon(75887)

Question 912292: A student scored 70 points on a test that had 4 seven point fill in the blank questions and 24 three point multiple choice questions. If the student answered 1 fill in the blank questions correctly, how many multiple choice questions did the student answer correctly?
Click here to see answer by JoelSchwartz(130)

Question 912299: -X+y=-2
x+y=2
solve for linear equation
Click here to see answer by jim_thompson5910(35256)

Question 911434: Use the elimination method to solve the system.
5x−14y=81
−x−6y=63

Click here to see answer by Fombitz(32388)

Question 912519: Solve to find the values of x,y and z.
i) 3x-4y+z=29
ii) 7x+y-3z=26
iii) 5x+4y-3z=7
Please help! I really need this!
Click here to see answer by Fombitz(32388)

Question 912519: Solve to find the values of x,y and z.
i) 3x-4y+z=29
ii) 7x+y-3z=26
iii) 5x+4y-3z=7
Please help! I really need this!
Click here to see answer by richwmiller(17219)

Question 912556: A sofa and loveseat are sold together for $ 1000. The loveseat is two thirds the price of the sofa. What are the prices of each?
Click here to see answer by ewatrrr(24785)

Question 912565: An exam worth 100 points contains 30 questions. Multiple choice questions are worth 2 points and short answer questions are worth 4 points. How many of each type of question are on the test?

Click here to see answer by ewatrrr(24785)

Question 912652: how would I solve 7x+11=8x+5?
Click here to see answer by Alan3354(69443)

Question 912775: 8j+4k=4\
Click here to see answer by richwmiller(17219)

Question 912776: 8j+4k=4
Click here to see answer by richwmiller(17219)

Question 912774: 8j+4k=4
Click here to see answer by richwmiller(17219)

Question 912790: I want to know how you workout the eqaution for a parabola line but the vertex isn't on the y-axis and how to change the width of the line. Thank in advanced.
Click here to see answer by josgarithmetic(39617)

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