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

Tutors Answer Your Questions about Linear-systems (FREE)

Question 38: Please help me with a step by step process for solving linear equations. My problem is:
x + y = 4
x - y = 5
I don't know what the first step should be.
Click here to see answer by spacewolf(2)

Question 134: i want to make sure the following steps for solving linear system
y=3x & x=3y
I think answer is x=9x and y=9y

Click here to see answer by ichudov(507)

Question 285: Solve by the addition method:

11x +2y = -1
2x +3y = 13
Click here to see answer by whenindoubt(13)

Question 285: Solve by the addition method:

11x +2y = -1
2x +3y = 13
Click here to see answer by AnlytcPhil(1806)

Question 398: How do I solve a system of quations using substitution when the euations are
y=x+4
y=3x
The answer can either be no solution or infinitely many solutions, please explain your work
Click here to see answer by arden42(16)

Question 520: my question is ;-
explain graphically
3x+15y=24
3x-8y =24
plot points on graph and draw a straight line passing through that two points
Click here to see answer by ichudov(507)

Question 578: I have been working on solving linear systems I cannot figure out where to move and mutilply the numbers my teacher taught us two ways combination and subsitution.here is one promblem and i was wondering if you could explain where to move the numbers and things because our teacher is of no help in this area and doesnt seem like she ever will be. 4x+y=-1
-5x-y= 0
Click here to see answer by askme(9)

Question 588: How do I use substitution usin this problem 2x-y=5; 3x-2y=9?
Click here to see answer by citychic3(8)

Question 653: how do you solve for y in each of these equations . Giving 3 solutions to each equation.
x-y= -5

-2x+y=7

3x-4y=12
-5x+3y=-15

Click here to see answer by janinecb(25)

Question 975: In attempting to solve the following problem, how does one solve for y when given 2y
3x-6y=5
2y=4x-6

Click here to see answer by AnlytcPhil(1806)

Question 1088: 1. 4x+3y=1, x=1-y
2. 2x-y=6, -x+y=-1
3. 6x-y=3, 4x-2y=-2
4. 2x+3y=7, x=1-4y
5. 2x+3y=6, x-3y=-15
6. 7x-5y=4, y=3x-4
7. 2y-5x=-1, x=2y+5
8. 4x+3y=1, 3x+4y=10
9. 6x-5y=3, 4x+3y=21
10. x+y=4, 3x+4y=10
11.
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Click here to see answer by AnlytcPhil(1806)

Question 1296: solve by using subsitution
y=x
y=-x+2
Click here to see answer by iamlegallyblond7(7)

Question 1359: How do I find y?
The problem is: x-2y=0 (equation 1) 3x+y=0 (equation 2)
Right now in my Algebra Honor class we're learning "Solving Systems by Substituion" and at first I understood it but now I can't seem to get the answer I want. I don't know what to do so please help!
Anna "Haylea"
Click here to see answer by usyim88hk(158)

Question 1354: x+2y=5
3x-y=1
Click here to see answer by usyim88hk(158)

Question 1685: Hi, I am trying to solve this Linear Equation System by using the substitution method:
-x+3y=-1
x-2y=6
Click here to see answer by ichudov(507)

Question 1777: how i can solve this equation.
x + y^(.5) = 7
y + x^(.5) = 11
i know the answer of these equations but dont know how to solve ?
Click here to see answer by longjonsilver(2297)

Question 1799: solve the system
x+y+z=6
3x+4y-7z=1
2x-y+3z=5

Click here to see answer by longjonsilver(2297)

Question 1788: Hi,
Is there a software to write a linear system of equations (it's actually an optimization problem), and solve it. it's of this kind
minF= Y.Y + w(X.X)+ s(Z.Z) with
Y= a + bI + cD + dI* + eD*
X= f + gI + hD + iI* + jD*
Z= k + lI + mD + nI* + oD*
All lower case are parameters, and adctually they have indices (is there something to write that easily, it's a pain under Word...)
I need to diiferentiate F with respects to I and D, then write I and D as functions of I* and D*.
I can do it myself but it takes a really long time and even longer to type it, is there a solver for that??
thanks so much for your help
Click here to see answer by longjonsilver(2297)

Question 1726: I have a 3 variable equation similar to the one answered earlier but I still can't grasp it because variables are missing. Can someone solve it to get me on track?
x + 2y + z =6
x + y =4
3x + y + z =8
Click here to see answer by Ne0(6)

Question 2069: I need to use elimination to solve each system of equations, and don't know how to do that with these as fractions.
1/x-5 - 3/y+6 = 0
2/x+7 - 1/y-3 = 0
Click here to see answer by sehar(13)

Question 2157: Please solve for X, Y, and Z in the 3 variable equation.
x + 2y + z =6
x + y =4
3x + y + z =8

Click here to see answer by matthew_sessoms(39)

Question 2157: Please solve for X, Y, and Z in the 3 variable equation.
x + 2y + z =6
x + y =4
3x + y + z =8

Click here to see answer by gsmani_iyer(201)

Question 2236: First, of all thank you for taking the time out of your busy schedule to assist me. I have a total of three problems. I tried to send the together, it was confusing, so I will send them seperate.
1. Solve for X and Y in the following problems.
a. X+y=6, 2X+Y=8
b. 7X+3Y=14, 5X+9Y=10
c. 4X+Y=16, 2X+3Y=24
d. 12X+Y=25, 8X-2Y=14
Click here to see answer by gsmani_iyer(201)

Question 2240: Ok this is my last problem. That you so much!
Solve for X,Y,and Z in the following systems of three equations:
A) X+2Y+Z =6
X+Y=4
3X+Y+Z=8

B) 10X+Y+Z=12
8X+2Y+Z=11
20X-10Y-2Z=8

C) 22X+5Y+7Z=12
10X+3Y+2Z=5
9X+2Y+12Z=14
Click here to see answer by DeepaEvangeline(15)

Question 2108: Can someone please show me how to do the following problem:
Solve for X, Y, and Z in the following:
22x + 5y + 7z = 12, 10x + 3y + 2z = 5, 9x + 2y + 12z = 14
Click here to see answer by DeepaEvangeline(15)

Question 2300: solve by elimination
2x+3y=19
5x-4y=-33
Click here to see answer by gsmani_iyer(201)

Question 2315: Explain how a linear system can have infinitely many solutions?
Click here to see answer by longjonsilver(2297)

Question 2277: Thanks in advance for your assistance!
Solve for A and B in the following problems:
1)4A+B = 16, 2A = 3B =24
2) A+B=6, 2A+B=8
Click here to see answer by gsmani_iyer(201)

Question 2347: I am a mom trying to help her high school daughter with her math; here is the question:
2c-d= -1
c+3d=17
Click here to see answer by longjonsilver(2297)

Question 2430: Here is my question:
Solve the system graphically
x+4y=32
3x+4y=-5
Click here to see answer by usyim88hk(158)

Question 2410: Thanks for helping me sole the equations. I sent an equation with error.
this is the correct equations.
Solve for A and B in the following problem.
4A+B=16, 2A+3B=24
Thank you!

Click here to see answer by gsmani_iyer(201)

Question 2459: I am still having problems with trying to figure this particular problem. Can you please provide me with some assistance. Thank you very much.
Solve for X and Y
4X + Y = 16, 2X + 3Y = 24

Click here to see answer by longjonsilver(2297)

Question 2455: 4x-y=-1
6x+5y=18
I really want to know the complete solution, and how to do it. May god bless the one who answers me.
Click here to see answer by borzeya(6)

Question 2455: 4x-y=-1
6x+5y=18
I really want to know the complete solution, and how to do it. May god bless the one who answers me.
Click here to see answer by kiru_khandelwal(79)

Question 2529: 2x+5y = -1
x+2y = 0
Click here to see answer by gsmani_iyer(201)

Question 2529: 2x+5y = -1
x+2y = 0
Click here to see answer by kiru_khandelwal(79)

Question 2569: one share of A stock is worth 3 1/2 shares of B stock. If the total value of the stock is $9000, how much was invested in each company?
Click here to see answer by kiru_khandelwal(79)

Question 2753: I am studying for my 8th grade algebra final and i dont understand the way that on this linear system 4x+5y = 7
6x-2y = -18
how do i do this x = (7 -5y)/4
Substituting this expression into the second equation:
6(7+5y)/4-2y = -18

and from after that how do i simplify this 6(7+5y)/4-2y = -18
into this (-38)y = -114
I listen in class but i was absent on some very important days and this doesnt make sence
I thank anyone who could help.

Click here to see answer by WannabeCAgirl83(35)

Question 2780: how to solve for this equation
x=9-2y
2x-y=3
Click here to see answer by kiru_khandelwal(79)

Question 2811: Solve the syatem of eqations for x and y using the addition method:
2x-5y=13
5x+3y=17
Click here to see answer by sujatha.krishna(11)

Question 2831: Solve the system of equations for x and y by the addition method
2x-4y+3z=17
x+2y-z=0
4x-4-z=6
Eliminate 1 variable at a time
Click here to see answer by xcentaur(357)

Question 2732: I am studing the substitution Method.. and for some reason i can not seem to figure out how to do it. My teacher has been trying to work with me, but yet when I look at the problem I go blank on what to do.
I have an equation y = 2x + 7
y = 10x - 1 I dont understand how to do this...

Click here to see answer by xcentaur(357)

Question 2961: I am trying to solve a linear system by elimination but am coming up with a problem. At least I think it is a problem.
2x-5y=11
3x+y=8
I will multiply by (3) and (-2) to get 6x and -6x
(3)2x-5y=11
(-2)3x+y=8
6x-5y=11
-6x-y=8
subtract 5y+1y=6y
11 + 8 =19
6y=19
When I divide 19 by 6 I get 3.16. What did I do wrong????? Please help.
Thank you so much. Tricia
Click here to see answer by indiangangsta(5)

Question 3069: I'm tring to get thru college math and is having a hard time understanding equations and inequalities please help
one of the problems is 8x-(3x+2)=3x-10
Click here to see answer by prabhjyot(165)

Question 3050: My paper says i should solve this equation by substitution: 2x + 3y = 13
y = 3 - 2x
could you show me how to sleve this step by step
My paper also says solve this equation by elimination: 3x - y = 4
7x + 2y =18
could you also solve that step by step
Click here to see answer by thechamp1011(19)

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