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

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Question 846360: Two small pitchers and one large pitcher can hold 8 cups of water. One large pitcher minus one small pitcher constitutes 2 cups of water. How many cups of water can each pitcher hold?

Click here to see answer by richwmiller(17219)

Question 846385: Solve the system using an algebraic approach such as elimination or substitution 4x + y + 3/2z = 22
Click here to see answer by richard1234(7193)

Question 846446: If 2x + y/2=12 and 10x-11y=6, what does x equal?
Click here to see answer by Fombitz(32388)

Question 846255: I need help finding what the value of x is?
f(-3)=7x+13
Click here to see answer by Fombitz(32388)

Question 846820: how do you solve this linear equation:6,427 7,496 8,565 9,634

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Question 847056: a bank teller has 49 $5 and $10 bills in her drawer. The value of the bills is $395.
How many $5 bills are there?
Click here to see answer by ewatrrr(24785)

Question 847119: A two-digit number is 1 more than eight times the sum of the digits. The ones digit is 3 less than the ten digit. What is the number?
Click here to see answer by swincher4391(1107)

Question 847117: The sum of the digits of a two-digit number is 11.Twice the tens digit plus 2 equals ten times the one digit. What is the number?
Click here to see answer by swincher4391(1107)

Question 847313: 2x-13/5-x-3/11=x-9/5+1

Click here to see answer by stanbon(75887)

Question 847326: Bob has 60 coins consisting of quarters and dimes. The coins combined value is $9.45. Find out how many are quarters and how many are dimes
Click here to see answer by stanbon(75887)

Question 847389: 2x + y = 1
4x + 2y = -1
Click here to see answer by swincher4391(1107)

Question 847396: how to solve this
substitution method
5x-3y+3=0
6x-5y-2=0
Click here to see answer by stanbon(75887)

Question 847403: solve by elimination method
4x+3/5-2-3y/4=x+y
5x/6+ 3y/4=2x+4y+3

Click here to see answer by Alan3354(69443)

Question 847543: My son is doing a worksheet called Solving Special Systems of Linear Equations, the Essential Question is "Can a system of linear equations have no solution? Can a system of linear equations have many solutions?"
The Activity is "Your cousin is 3 years older than you. Your ages can be represented by two linear equations."
y = t Your age
y = t + 3 Your cousin's age
(there is a graph with 0 to 12 in the y axis and 0 to 12 in the x axis next to the problem and there are 3 questions)
a. Graph both equations in the same coordinate plane.
b. what is the vertical distance between the two graphs? What does the distance represent?
c. Do the two graphs intersect? Explain what this means in terms of your age and your cousins age.
Can you help us out?
Click here to see answer by stanbon(75887)

Question 847631: graph the equation 135=3K + 5H and K is the independent variable
Click here to see answer by swincher4391(1107)

Question 847661: QUESTION:
A rectangle has a perimeter P of 58 inches. The length l is 1 inch more than 3 times the width w. Write and solve a system of linear equations to find the length and width of the rectangle.
WHAT I HAVE TRIED:
l=3w+1
58/2=29
29=???
Click here to see answer by richwmiller(17219)

Question 847666: Given the equation, 9x + 3y =-6, write a second linear equation to create a system that has exactly only one solution. How do you do this ?
Click here to see answer by richwmiller(17219)

Question 847669: given the equation, 9x + 3y =-6, write a second linear equation to create a system that has no solution. how do you do this ?
Click here to see answer by richwmiller(17219)

Question 847677: given the equation , 9x + 3y= -6 , write a second linear equation to create a system that has infinitely many solutions. how do you do this ?
Click here to see answer by richwmiller(17219)

Question 847667: QUESTION:
A town committee has a budget of $75 to spend on snacks for volunteers participating in a clean-up day. The committee chairperson decides to purchase granola bars and at least 50 bottles of water. Granola bars cost $.50 each, and bottles of water cost $.75 each. Write and graph a system of linear inequalities for the number of bottles of water and the number of granola bars that can be purchased.
I don't know where to start!!!
Click here to see answer by richwmiller(17219)

Question 847686: Solve the following system by eliminating the y variable. (If there is no solution, enter NO SOLUTION for each answer. If there are infinitely many solutions, enter INFINITELY MANY for each answer.)
5x-3y=-7
15x-y=3
I need help. im really busting my brain with this one.
Click here to see answer by richwmiller(17219)

Question 847823: For each ordered pair, determine whether it is a solution to the system of equations.
9x-2y=8
-7x+3y=1
(2,5),(-8,1),(-4,-9),(0,-4)
Click here to see answer by josgarithmetic(39617)

Question 847854: Solve x+2y=3 and 5x+4y=8 by method of substitution. Show your work too
Click here to see answer by mxgirl22(39)

Question 848020: Elimination 5x+3y+9=0
Click here to see answer by Fombitz(32388)

Question 848027: Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite.
3x + 2y = 6
x - y = 2
Click here to see answer by Fombitz(32388)

Question 848114: 5(5x - 2) = 15
What is the first step when solving the above equation for x?
Click here to see answer by ewatrrr(24785)

Question 848230: Can someone help me get the x y and z values for this system of linear equations question?
2x+4y-z=7
2x-4y+2z=-6
x+4y+z=0
Click here to see answer by richwmiller(17219)

Question 848233: Can I have the x y and z values for this system of equations?
2x + 4y + z = 1
x - 2y - 3z = 2
x + y - z = -1
Thanks!

Click here to see answer by richwmiller(17219)

Question 848549: luke has $5 more than am. together they have $73. how much does each have

Click here to see answer by swincher4391(1107)

Question 848588: a string is 2 meters longer than rod.half of the rod is 1 meter shorter than half of than string. is true or false?
Click here to see answer by lolocupcak(1)

Question 848821: how do I solve (2y-9)+(y+4)=5y..what are the steps to solve these types of equations?
Click here to see answer by ankor@dixie-net.com(22740)

Question 848934: Substitution method?
4.) x-5y=10
2x-3y=13

Click here to see answer by richwmiller(17219)

Question 849173: 2x+y=1
2x+y=-3

Click here to see answer by Alan3354(69443)

Question 849300: Solve using the system of Linear Equations
Pierre has found that his new car gets 33 miles per gallon on the highway and 27 miles per gallon in the city. He recently drove 317 miles on 10 gallons of gasoline. How many miles did he drive on the highway? How many miles did he drive in the city?
Click here to see answer by josgarithmetic(39617)

Question 849344: Hi, can you please help me with this question? I'm stuck on this problem:"Solve this simultaneous equation: y-2=3x and (x-2)^2+y-30=0"
I thought by expanding (x-2)^2 into x^2-4x+4 would work, but it doesn't seem to. Thank you so much for your help in advanced!
Click here to see answer by Theo(13342)

Question 849796: I have been trying to find a condition about r and s in this system that would make it inconsistent, but the -3rz keeps tripping me up!
here is the equation.
x - 2y + z = 2
-x + 3y = 3 + s
x - 5y - 3rz = 1
thank you for helping!!
Click here to see answer by Fombitz(32388)

Question 849889: If the two adjacent angles of a parallelogram are (3x � 20)� and (50 � x)�, then find
the value of x.
Click here to see answer by Alan3354(69443)

Question 850315: Request assistance with the operations for equation (9,-2); 7x-5y=9
I find I am unable to solve the equation, please review my work below

7X-5y=9
-5y=-7X+9
y =-7/5X-9/5
y-(-2)=-7/5X-45/5
y+2=-7/5X
Click here to see answer by josgarithmetic(39617)

Question 850538: A rectangle has a perimeter P of 14 feet, and twice its length l is equal to 1 less than 4 times its width w. Write and solve a system of linear equations to find the length and the width of the rectangle.
Click here to see answer by josgarithmetic(39617)

Question 850665: find the value of 7x+7 given that 2x-4=6
Click here to see answer by jim_thompson5910(35256)

Question 850623: how do i solve:
6000x-500=y
- 9000x-950=y
and how do i find the x and y value

Click here to see answer by Cromlix(4381)

Question 850758: Many students purchase pencils and notebooks from claw-mart because responsible math students bring these to class. One day the store sold a total of 178 notebooks and pencils. The cost of pencils is twenty-five cents and the cost of a notebook is fifty cents. The store collected $58.75 from the sale of these items. The store lost the receipt for the day. How would you help the store determine how many of each items the store sold that day?
Click here to see answer by josgarithmetic(39617)

Question 850997: Solve the system by addition:
x-4y=-6
2x+y=15
Click here to see answer by jim_thompson5910(35256)

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