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

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Question 723246: What is this equation in y=mx+b format in order for it to be graphed:
x/7-y/6=1
Click here to see answer by checkley79(3341)

Question 723355: using elimination, what is the answer to 8x+10y=-30
6x+2y=16 and how did you get that answer?
Click here to see answer by Alan3354(69443)

Question 724478: 2x-y=3 and 5x-2y=11 find the ordered pair
Click here to see answer by MathLover1(20850)

Question 724754: 1. x=5y-1; x+2y=13

Click here to see answer by solver91311(24713)

Question 725278: age of x exceeds age of y by 3 years.expresss it in liner equation

Click here to see answer by jim_thompson5910(35256)

Question 725638: Solve for x and y by deriving an expression for y from the second equation, and substituting it back into the first equation.
−2x+y−5x+y=−4=−8
Click here to see answer by Alan3354(69443)

Question 725739: Please help my solve this. I have been trying to figure it out.
Find three equations that have an x-intercept at (1,0)
Click here to see answer by Alan3354(69443)

Question 725754: A dim restaurant offers two sizes of dishes small and large. All small dishes cost the same and all large dishes cost the same. The bills show the cost of the food before the tip is included. What will 3 small and 2 large dishes cost before the tips is included?

Click here to see answer by checkley79(3341)

Question 725746: Hi, how can I solve this equation using elimination?
4x + 5y = 57
7x - 2y = 46

Click here to see answer by checkley79(3341)

Question 725721: 4x=-3y-54
X=2y+3
Click here to see answer by checkley79(3341)

Question 725849: An airplane is flying into a headwind travels the 1800 mi flying distance between New York and Albuquerque, NM in 3 hours 36 min. On the return flight, the same distance is traveled in 3 hours. Find the airspeed of the plane and the speed of the wind assuming that both remain constant.
Click here to see answer by lwsshak3(11628)

Question 725868: What is the system of equations for:
4x-y=10
2x+3y=12
Click here to see answer by Alan3354(69443)

Question 725872: How do you solve linear equations the easy way.?
Click here to see answer by lynnlo(4176)

Question 725845: You are deciding how to invest a total of $20,000 in two funds paying 5.5% or 7.5% simple interest. You want to earn a total of $1300 in interest from the investments each year. How much should you invest at 5.5% and how much should you invest at 7,5% to earn $1300?

Click here to see answer by mananth(16946)

Question 725926: 1x+6y=372 and 4x+12=780 solve system using elimination
Click here to see answer by mananth(16946)

Question 725987: Y= -3-3x Use the graphing to graph a line, use intercepts when drawing the line if one intercept exists use it and another point to draw.

I get Y=-3 -3X That gives me the Y=Mx+B approach

I don't understand how I can solve or make an ordered pair from this I need 2 ordered pairs to make 2 points and make them on the graph.
Click here to see answer by richwmiller(17219)

Question 725990: How to solve this linear system by graphing.
7x+5y=-3
-9x+y=-11
Click here to see answer by checkley79(3341)

Question 726134: (2x-5)(3x+2)=2(3x-11) what are we going to do with this expresion?
Click here to see answer by checkley79(3341)

Question 726300: The cost of 4 notebooks and 5 pens is $20. The cost of 6 notebooks and 2 pens is $19. Which system of equations can be used to find the cost of a notebook "n" and the cost of a pen "p".
A)
5n + 4p = 20 and 2n + 6p = 19
B)
4n + 5p = 20 and 6n + 2p = 19
C)
4n + 5p = 20 and 2n + 6p = 19
D)
5n + 4p = 20 and 6n + 2p =19
Click here to see answer by MathLover1(20850)

Question 726294: What is the value of x in the given system of equations: y = 3x + 1 and y = 5x - 3
Show work.
A)1
B)7
C)2
D)-3
Click here to see answer by mananth(16946)

Question 726298: Solve the system by substitution: x + y = 6 and x - y = 10. Show work.
A
(-8, -1)
B
(1, -3)
C
(7, -1)
D
(8, -2)
Click here to see answer by lynnlo(4176)

Question 726552: 2x + y - 5z = 10
4x - y + 2z = 12
4x - 4y = 12
Solve these for x, y and z by any method you choose.
Click here to see answer by richwmiller(17219)

Question 726519: 4x=77-3x working out method for linear equation and answer.
Click here to see answer by checkley79(3341)

Question 726560: Perth Mining Company operates two mines for the purpose of extracting gold and silver. The Saddle Mine costs $15,000/day to operate, and it yields 50 oz of gold and 3000 oz of silver each of x day. The Horseshoe Mine costs $20,000/day to operate, and it yields 75 oz of gold and 1000 oz of silver each of y day. Company management has set a target of at least 650 oz of gold and 18,000 oz of silver. How many days should each mine be operated so that the target can be met at a minimum cost?
(x, y) =

What is the minimum cost?
$
Click here to see answer by lynnlo(4176)

Question 726559: A farmer plans to plant two crops, A and B. The cost of cultivating Crop A is $40/acre whereas the cost of cultivating Crop B is $60/acre. The farmer has a maximum of $7400 available for land cultivation. Each acre of Crop A requires 20 labor-hours, and each acre of Crop B requires 25 labor-hours. The farmer has a maximum of 3300 labor-hours available. If she expects to make a profit of $150/acre on Crop A and $190/acre on Crop B, how many acres of each crop, x and y, respectively, should she plant in order to maximize her profit?
(x, y) =

What is the optimal profit?
$
Click here to see answer by lynnlo(4176)

Question 726558: A financier plans to invest up to $500,000 in two projects. Project A yields a return of 12% on the investment of x dollars, whereas Project B yields a return of 15% on the investment of y dollars. Because the investment in Project B is riskier than the investment in Project A, she has decided that the investment in Project B should not exceed 40% of the total investment. How much should the financier invest in each project in order to maximize the return on her investment?
(x, y) =

What is the maximum return?
$

Click here to see answer by lynnlo(4176)

Question 726557: Solve the linear programming problem by the method of corners.
Maximize P = 2x + 5y
subject to x + y ≤ 10
3x + y ≥ 12
−2x + 3y ≥ 8
x ≥ 0, y ≥ 0
The maximum is P = at
(x, y) =

.
Click here to see answer by lynnlo(4176)

Question 726555: Solve the linear programming problem by the method of corners.
Minimize C = 5x + y
subject to x + 2y ≥ 36
x + y ≥ 30
x ≥ 0, y ≥ 0
The minimum is C = at
(x, y) =

.
Click here to see answer by lynnlo(4176)

Question 726685: Hello.
I'm trying to solve this System of Equations with three variables.
r+s=5
3s+2t=-1
4r+t=14

Click here to see answer by lwsshak3(11628)

Question 726685: Hello.
I'm trying to solve this System of Equations with three variables.
r+s=5
3s+2t=-1
4r+t=14

Click here to see answer by tanjo3(60)

Question 726775: Write the point-slope form of (4, 6) with the slope of 5.
Click here to see answer by jim_thompson5910(35256)

Question 726813: I need help solving this:
x^2+xy+y^2=12
x+y=2
Click here to see answer by Alan3354(69443)

Question 726823: In five years, Mike will be twice as old as Andy. The sum of their present age is 80. How old is Mike now?

Click here to see answer by Alan3354(69443)

Question 726814: Stuck and need help on solving this
7x-8y=24
xy^2=1
Click here to see answer by Alan3354(69443)

Question 726814: Stuck and need help on solving this
7x-8y=24
xy^2=1
Click here to see answer by DrBeeee(684)

Question 727134: 2x � y = 6
-x + y = 2
Click here to see answer by stanbon(75887)

Question 727107: 3x-7y=2
-5x+4y=12

Click here to see answer by checkley79(3341)

Question 727196: I'm doing a project to solve "You and your classmates decide to sell sweatshirts and T-shirts to raise money for a school trip. You decide that you should sell at least thirty items, but do not want to exceed 120 items. Based on a small survey of students, you also decide that the number of T-shirts should be at least twice the number of sweatshirts." I usually have no problem, but I'm struggling. First I need to make 3 inequalities, I tried "x+y≥30 ; x+y≤120 ; x≥2y" We need to graph and shade to form a polygon. These inequalities did not work.
Click here to see answer by jim_thompson5910(35256)

Question 727285: You can travel by boat 8 miles downstream in the same amount of time it takes you to travel 4 miles upstream. What is the speed of the current?
Click here to see answer by josmiceli(19441)

Question 727686: Hi I need a little help with solveing linear systems using substitution
This is a problem from my homework Please Help and thanks!
x=y+3
2x-y=5
Click here to see answer by Alan3354(69443)

Question 727747: x - 2y = 7
-2x + 4y = 14
Please show how to do.
Click here to see answer by lynnlo(4176)

Question 728182: 2x+y=
Click here to see answer by Alan3354(69443)

Question 728240: Hi please help on doing these type of equations :)
Question 1
6b + 4y = 54
4b = 20
Question 2
2b - 5x = -19
-b= -3
Question 3
3u - 3y = 30
5u= 20
Thank you

Click here to see answer by ohtheirony(35)

Question 728439: solve the following homogeneous system of linear equations:
x+y-3y+2w=0,
2x-y+2z-3w=0,
3x-2y+z-4w=0,
-4x+y-3z+w=0
Click here to see answer by Alan3354(69443)

Question 728438: solve the following homogeneous systeam of linear equations:
x+y-3y+2w=0,
2x-y+2z-3w=0,
3x-2y+z-4w=0,
-4x+y-3z+w=0
Click here to see answer by Alan3354(69443)

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