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

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Question 227682: Solve the following system for x and y.
3x - y = 7
x + 2y = -7
Click here to see answer by jim_thompson5910(35256)

Question 227550: Why is it true that at x-intercept, the value of y is 0, and at y-intercept, the value of x is 0?
Click here to see answer by drj(1380)

Question 227942: Can you pls help me solve the system?
2x+5y=1
-x+6y=8
Click here to see answer by jim_thompson5910(35256)

Question 228088: The difference between two numbers is 9. The sum of twice the larger number and three times the smaller number is 33. Find the two numbers.

i came up with this...
x-y=9
2x+3y=33
Click here to see answer by jim_thompson5910(35256)

Question 228116: how in the world do I find three points for the equation 3y-6=0 or 2x+5=0. I already know how to do y= 3x-2 or y=-2x+3 because the y is on the side of the problem I can do anything as long as the y is on the side the 3y-6=0 the y is not next to the equal how in the world do I solve this.
Click here to see answer by ankor@dixie-net.com(22740)

Question 228146: 2. Suppose you have a lemonade stand, and when you charge $2 per cup of lemonade you sell 120 cups. But when you raise your price to $3 you only sell 60 cups.
a. Write an equation for the number of cups you sell as a function of the price you charge.
b. Denote "C" for number of cups, and "P" for the price you charge.
c. Assume the function is linear.

3. Continuing our lemonade stand question:
a. We all know that total revenue (TR) is a function of the price we charged (P) multiplied by the item quantity sold (in our case � Cups), i.e., TR = Price * Cups
b. Please write the equation for your TR by inputting your answer from the function you have calculated in question #2.
c. What price would maximize your TR?

Click here to see answer by stanbon(75887)

Question 228256: solve by the substitution method.
5x + 9y = -13
x = 10 - 6y
Click here to see answer by JenniferTutors(83)

Question 228352: What eqation do I need to use for the sum of page numbers on facing pages is 285, find larger number? Please help
Click here to see answer by checkley77(12844)

Question 228486: how do you solve this by elimination?
x+y=2
2x-y=-5
Click here to see answer by drj(1380)

Question 228576: 2r-75=-5
7r+2s=9
solve with elimination method
Click here to see answer by checkley77(12844)

Question 228648: 3x-y=7, y=4x-11
Click here to see answer by drj(1380)

Question 228678: solve using any appropriate method.
5x-9y=7
7y-3x=-5
i rearranged the eqaution so as follows.
5x-9y=7
-3x+7y=-5
then i found a common from 5x and -3x (15)
15x-27y=21
-15x+35y=-25
0 + 8y=-4
8y/8 = -4/8
y = .5
then im lost
Click here to see answer by jim_thompson5910(35256)

Question 228772: Hello, Im in Gr.10.
Solving Problems dealing with linear systems: (I need to make an equation then solve)
1) A school athletic council sold 835 tickets to the championship football game for a total of $5792. Students pay $4 and nonstudents pay $8. How many nonstudents attended the game?
Click here to see answer by ankor@dixie-net.com(22740)

Question 228811: Gr.10 math.
Solving Problems dealing with linear systems: ( I need to make an equation, then solve)
2) A truck rental company offers two daily rental plans.
PLAN 1: $65 per day, with unlimited mileage.
PLAN 2: $30 per day, plus 20cents/km
Under what condition(s) is Plan 2 better than Plan 1??
Click here to see answer by rfer(16322)

Question 228854: I don't know how to set this up:
Bill leaves his house for Maya's house riding his bicycle at 8 miles per hour. At the same time, Maya leaves her house heading toward Bill's house walking at 3 miles per hour. Write a system of equations to represent the distance, d, each is from Maya's house in h hours. They live 8.25 miles apart.
Click here to see answer by edjones(8007)

Question 228975: solve by the substitution method
8m + n = 11
m - 6n = 32
Click here to see answer by Alan3354(69443)

Question 229050: w=.5at squared

Click here to see answer by rapaljer(4671)

Question 229038: 6x-2y= -4 What would I need to do to find the answer

Click here to see answer by 121086(1)

Question 229223: substitution and elimination
2x+y=-5
-x+3y=6
Click here to see answer by checkley77(12844)

Question 229220: solve linear system
3x-y=-2
5x+2y=15
Click here to see answer by checkley77(12844)

Question 229415: 11b/6=b-5

Click here to see answer by drj(1380)

Question 229733: Find the slope of the line 4x=5y+2
Click here to see answer by solver91311(24713)

Question 229733: Find the slope of the line 4x=5y+2
Click here to see answer by Alan3354(69443)

Question 229941: x-2y=3
5x+4y=8
Click here to see answer by drj(1380)

Question 229991: The sum of the digits of a two digit number is 12. (So, I am thinking the problem for that statement would be x + y = 12)
The number is 13 times the tens digit. Find the number.
I cannot for the life of me figure out the second equation. If I am given the equation, I can work the problem, but I can't seem to understand anything other than 13(x) = z. (But if I use that, I will then have 3 variables in a systems of equations problem.)
Help!
Marie
Click here to see answer by ankor@dixie-net.com(22740)

Question 230279: Two cyclists begin traveling in the same direction on the same bike path.
One travels at 20 miles per hour, and the other travels at 14 miles per hour.
After how much time will the cyclists be 15 miles apart?

Click here to see answer by checkley77(12844)

Question 230397: a/bx-c=o solve for x
Click here to see answer by stanbon(75887)

Question 230499: Solve the following system of equations for x and y
3x+5y=21
2x-y=1
Click here to see answer by rfer(16322)

Question 230500: For what values of x is the inequality 3x-5x>8 true?
Click here to see answer by rfer(16322)

Question 230566: Tell whether the line for each pair of equations are parallel,perpendicular,or neither.
y=-1/2x-11 16x-8y=-8
Click here to see answer by Theo(13342)

Question 230814: 0.2x + 0.4y = 1.7
8.3x - 6.3y = -4.3
Click here to see answer by Alan3354(69443)

Question 230853: Could you please tell me whether or not the equations are linear and why?
x=y, 6=x , xy=5
Click here to see answer by Theo(13342)

Question 230946: y-(-6)=4/9(x-8)
solve for y using the slope intercept equation step by step
Click here to see answer by unlockmath(1688)

Question 230979: I need help as to how this word problem is to be set up: Suppose a chemist is mixing to acid solutions, one of 20% and the of 30% concentration. Which one o the following concentratons could not be obtained:
A 22%, B 24% C 28% D 32% The answer is D. I need some intruction as to how to set this problem up.

Click here to see answer by stanbon(75887)

Question 231287: Translate the problem into a pair of linear equations in two vaiables
How many liters of a 40%-alcohol solution must be mixed with 10 liters of a solution that is 80% alcohol to get a solution that is 60% alcohol
Click here to see answer by checkley77(12844)

Question 231281: please explain the process to reach answer to:
ax - by -bx - cy + dx - ey
Click here to see answer by checkley77(12844)

Question 231488: A new printer can run off 1,500 workbooks in 8 hours, while an older printer takes 12 hours to run the same load. If both run at the same time to finish 1,500 workbooks, how many hours would it take.
Click here to see answer by Alan3354(69443)

Question 231481: 4p-11-p=2+2p-20
Click here to see answer by rfer(16322)

Question 232024: Someone please help me, I am completely clueless about linear equations.
1. Solve the system of linear equations by graphing: x+2y=5, x-y=2
A. (1,3)
B. (3,1)
C. (7,5)
D. (5,7)
2. Solve the system of linear equations by graphing: 4x-y=6, 3x+y=1
A. (-2,1)
B. (1,-2)
C. (5,14)
D. (2,2)
3. Solve the system of equations by graphing: y=x^2-4, y=x-2
A. (2,0) and (-1,-3)
B. (2,0) and (1,-3)
C. (3,5) and (-1,-3)
D. (3,5) and (1,-3)
Thank you so much for all your help!!!!!!
Click here to see answer by rfer(16322)

Question 232102: solve by the substitution method.
6m+n= 28
m-7n=62 what is the solution I came up with ( 4,-8) am I close
Click here to see answer by Robb(9)

Question 232463: I hope i picked the right catagory. Can you walk me through this problem please? It is with two lines instead of the one I have been learning past weeks.
Solve the system of equations by graphing. Then classify the system.
x+y=13
x-y=-3
Thank you, you have helped me so many times, certainly the most helpful to us out here trying to figure this stuff out! dsunflower
Click here to see answer by rfer(16322)

Question 232636: write an equation of the line that passes through (2,3) and perpendicular to 4x+5y=10
Click here to see answer by Alan3354(69443)

Question 232838: 9y-2x(6+4y)
Click here to see answer by RAY100(1637)

Question 232875: solve this equation by substitution
7x-3y=-14
-3x+y=6
Click here to see answer by mando271(42)

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