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

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Question 203325: Solve the following system of linear equations using any method. If a solution does not exist, write no solution.
5x+6y=14
-3y+x=7
Click here to see answer by ankor@dixie-net.com(15649)

Question 203355: Please I need help with this one. Thanks million.
Solve by the elimination method.
7r+3s=38
3r+7s=66
--------------
21r+9s= -114
-21r-49= -462
-58= -576
S=? 9.9....?
--------------
7r-3(3)=-38
R=?

Click here to see answer by scott8148(6628)

Question 203326: Find the intersection of the sets {2,5,8,9,11,13} and {3,4,5,6,7,8}.
Click here to see answer by jsmallt9(3296)

Question 203361: Please help me finish solving problem.
Solve by the substitution method.
4x+3y= -9
x=6-9y
------------
4(6-9y) +3y= -9
24-54y+3y= -34
Y=?
X=?

Click here to see answer by stanbon(57323)

Question 203365: Could you please help me out with this problem??
Solve by elimination method
7/2x + 7/3y = 42
1/4x + 1/3y = 4
Thank you very much!!
Click here to see answer by stanbon(57323)

Question 203365: Could you please help me out with this problem??
Solve by elimination method
7/2x + 7/3y = 42
1/4x + 1/3y = 4
Thank you very much!!
Click here to see answer by jsmallt9(3296)

Question 203400: Solve.
-0.4x<-32
-----------
x<80?
Did I got the right answer?
Thank you!
Click here to see answer by Earlsdon(6287)

Question 203405: Solve by the elimination method.
7r+3s=38
3r+7s=66
--------------
21r+9s =114
21r-49= 462
58/576
S=? 9.9....?
--------------
7r-3(?)=?
R=?
It doesn’t make sense to me. Can you please help me solving this problem?
Thank you!

Click here to see answer by jsmallt9(3296)

Question 203422: 1. The face of a $10 bill has an area that can be represented by the expression 10x² + 9x – 40.
(a) Factor the expression to find the dimensions of the bill.
(b) If x represents 32mm, what are the dimensions of the bill?

Click here to see answer by jsmallt9(3296)

Question 203423: Expand and simlify
(a) -3(x² - xy + 2y²)
-3x²+3xy-6y²
(b) (x – 1)(x + 4)
x²+4x
-x -4
---------------------
x²+3x-4
(c) -2(x + 3)(2x – 1)
-2x-6 (2x-1)
-4x²+2x
-12x+6
--------------------
-4x²-10x+6
(d) (2x – y)²
(2x-y)(2x-y)
4x²-2xy
-2xy+y²
------------------
4x²-4xy+y²
(e) (2x + 3)(3x – 2) – (x + 5)²
(2x+3)(3x-2)-(x+5)(x+5)
1.) (2x+3)(3x-2)
6x²-4x
9x-2
---------------
6x²+5x-2
2.) (x+5)(x+5)
x²+5x
5x+25
----------------
x²+10x+25
3.)(6x²+5x+2)-(x²+10+25)
6x²+5x+2
- x²+10x+25
---------------
5x²-5x-20
Click here to see answer by geE-thug(1)

Question 203481: I actually attempted the examples in my book but still do not grasp the concept if I can actually get someone to get to break this down for me i might be able to do the rest on my own:
y= -3x+19
y= 2x-1
and
x+3y=2
-x+y=1 thank you

Click here to see answer by stanbon(57323)

Question 203525: solve the system of equation by graphing.
9x-6y=42
6y-9x=-42

is it consistent or inconsistent
dependant or independant
i'm totally lost with this one, thinking there is no solution, but is that correct?
thanks
Click here to see answer by psbhowmick(529)

Question 203580: 17/35=-x
Click here to see answer by RAY100(1637)

Question 203641: Find the union of the sets {a,b,c,d,e} and {q,r,s,t}
Click here to see answer by stanbon(57323)

Question 203743: what is the reason to use mathematical elimination rather than graphing to find the point of intersection of two lines?
Click here to see answer by jsmallt9(3296)

Question 203755: I really need help understanding how to answer these questions using the addition method...I want to learn this!!! For some reason I am just not getting it???
12.) x-2y=-1
-x+5y=11

16.) 3x+5y=-11
x-2y=11

22.) 2x=2-y
3x+y=-1
Thank you, thank you, thank you!!!!
Click here to see answer by stanbon(57323)

Question 203932: Can anyone please help me get past the last 2 math problems....I keep trying and each time I get a new answer!!! Thank you!!!The directions say to solve by using the addition method....
36.)
3/7x + 5/9y=27
1/9x + 2/7y=7

44.)
3x-2.5y=7.125
2.5x-3y=7.3125
Thank you! Thank you! Thank you!
Click here to see answer by Alan3354(30993)

Question 204102: the perimeter of a rectangle is twice the sum of its length and its width. The perimeter is 28 meters and it's length is 2 meters more than twice it's width. What is it's length?
Click here to see answer by ichudov(499)

Question 204179: Addition method
x+y=7
x-y=9

x-2y=-1
-x+5y=4

3x + 5y = -11
x- 2y = 11

2x= 2-y
3x + y =-1

Click here to see answer by PRMath(123)

Question 204191: Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of cubic feet, HCF). When graphed, the function gives a line with a slope of 1.35.
If the monthly bill fro 16 HCF is $24.35, what is the monthly bill for 20 HCF?
I know that linear functions are x+y=z, I need help setting up the problem. Could you please help me!!!???!!!
z(monthly cost)= x(HCF)+ y or
monthly bill=1.35x + 20 or
20=1.35x + y PLEASE HELP!!
Question is not from a book...it's a quiz question.
Click here to see answer by scott8148(6628)

Question 204243: How do you solve x3/2-4x3/4+3=0, I don't know where to start?
Click here to see answer by Theo(3460)

Question 204406: write y in terms of x
3x-2y+-6
Click here to see answer by stanbon(57323)

Question 204404: -2x -8y = -3
-10x -2y = -6
This is from a CNOW project.
If the system is to be solved using the addition method, by which constant should one of the equations be multiplied if the x terms are to drop?
-5 , 2 , 1/5 , or -2
Click here to see answer by stanbon(57323)

Question 204399: y+1/4- y-1/6 = y+5
Click here to see answer by stanbon(57323)

Question 204405: 3x-3y=3
2x+y=2
Click here to see answer by checkley77(12569)

Question 204662: solve the following system by any method

Click here to see answer by ichudov(499)

Question 204779: write y in terms of x?

(-x/3)+(y/2)=(5/8)
I dont understand this? Are we solving for y or x?
Click here to see answer by alicealc(281)

Question 204697: There N stations on a railroad.
After adding X stations on the rail route 46 additional tickets have to be printed.
Find N and X.
Click here to see answer by scott8148(6628)

Question 204716: Solve the system of equations using the addition (elimination) method.
If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is "no solution" or "infinitely many solutions" and state how you arrived at that conclusion.
5x - 3y = 1/3
-10x + 6y = 2/3

Click here to see answer by ankor@dixie-net.com(15649)

Question 204910: Determine whether the system is consistent, inconsistent, or dependent.
3x - 3y = -9
9x - 9y = -27
Click here to see answer by stanbon(57323)

Question 204869: Developing a deep understanding of linear relationships is an important part of the algebra curriculum. One way to analyze these relationships is to examine the way linear equations are represented symbolically, before they are graphed. Review the Semantic Feature Analysis activity, and then think about the following:
Do the graphs of y = x and y = x + 2 intersect with each other?

How could you answer this question without actually graphing each equation?

How would you describe the relationship between the symbolic representation for these lines and their graphs?

Click here to see answer by stanbon(57323)

Question 205130: Can someone help me with this, I have looked in my text and can't find it. How do I form a linear equation in one variable and in two variables.
Click here to see answer by Alan3354(30993)

Question 205132: In a lab experiment 4 grams of acid were produced in 10 minutes and 15 grams in 50 minutes. Let y be the grams produced in x minutes. Write an equation for grams produced.
Click here to see answer by Edwin McCravy(8908)

Question 205174: The cost of water(in dollars) is a linear fuction of the amount of water used(in hundreds of cubic feet,HCF). The cost of using 18 HCF is $39.35 and the cost of using 55 HCF is $104.10. What is the cost of using 53 HCF of water
Click here to see answer by stanbon(57323)

Question 205153: Could someone show me an examplwe of an exponential function converted to a logarithmic function?
Click here to see answer by Earlsdon(6287)

Question 205363: what is the correct way to write the soultion: 4x + 5y=10, 8x +10y=20
Click here to see answer by alicealc(281)

Question 205551: I'm having problems solving this problem as a system of equations. Please help. Thanks.
The sales representatives informs you that there are two floor plans available. There are a total of 56 houses available.
Plan A is x+y=56 and Plan B is x+3y=56. Use substitution to determine how many of each type of floor plan is available, and what are the intercepts of the equation from x+y=56 and from x+3y=56. where would the lines intercept?
*this is so confusing to me, thanks.
Click here to see answer by stanbon(57323)

Question 205584: Please help me solve this equation!
2x+6y=17 and 5x+6y=29
Click here to see answer by solver91311(16877)

Question 205865: Solve by substitution method
5x + 7y =10
x= 5-2y
What is the solution pair
Click here to see answer by Alan3354(30993)

Question 206059: Solve each system by addition.As part of your answer indicate whether the equation are independent, dependent, or inconsistent.
x-y=3
-6x+6y=17
Click here to see answer by stanbon(57323)

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