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Test for conistency and solve the system 2x y

Test for conistency and solve the system 2x y z=2, x-3y 2z=1, 7x-y 4z=5

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Your missing some operators in your equations.

Posted on Aug 07, 2010


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How to solve 17-4z+2z=13

You are solving for "z". First, bracket the "z" values ad combine them to get this:

17 - (4z+2z) = 13.

This breaks down to:

17 - 6z = 13

Now, subtract 17 from both sides of the equation to get the "z" value isolated and the result is:

-6z = -4 (13-17= -4)

Since both sides are negative, you can drop the signs and get this:

6z = 4

To get the value of "z", divide both sides by 6 and the result is

z = 4/6

Simplify the fraction to z = 2/3.

Jan 26, 2016 | Office Equipment & Supplies

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Problems matrix

This is no linear system. You cannot solve it like that using the matrix techniques. Haven't you made a mistake in writing the equations?
If that is tryly the system you want to solve, I suggest that you make a change of variables as follows:
X=1/x , Y= 1/y, Z=1/z (it being understood that x, y, z cannot be equal to 0). You will have to exclude the values x=0, y=0, z=0
Not I am not being sloppy, X and x are different entities, same with Y and y, Z and z.
Your system becomes

Now that is a linear system. Solve it using matrices or Cramer's rule, When you obtain X, Y, and Z, get x=1/X, y=1/y, z=1/Z
The actual implementation of the solution method will depend on the exact model of calculator you are using. Not knowing that, I cannot advise you how to do it.

If I have not made any mistakes, the results are X=-58/9,Y=106/9, Z=-32/9. And x, y, z are just the reciprocals of their namesake.

Dec 13, 2013 | Office Equipment & Supplies

1 Answer

How do i graph three equations on my calculator

Your calculator cannot, natively, perform 3D graphing.

Jan 28, 2013 | Texas Instruments TI-84 Plus Calculator

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(2x - 5) - (x - 2)

There is nothing to solve because you have no equation (no = sign) nor an inequality ( no <,or >.) All you can do is use distributivity to open up the parentheses , then combine like terms as follows
(2X-5)-(X-2)= 2X-5 -X+2=2X-1X+2-5=X-3

May 31, 2012 | Computers & Internet

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2x -y +z -w = -1 x +3y -2z = -5 3x -2y +4w = 1 -x +y -3z -w = -6 solve for the variables w,x,y,z using matrix equation

You have to put the equations into matrix form first. To do this, each variable has one column in the first matrix and you fill in the co-efficients for the variables. The second matrix has one column and contains all the numbers.

{ 2 -1 1 -1} = Matrix A
{ 1 3 -2 0}
{ 3 -2 0 4}
{-1 -3 -3 -1}

{-1} = Matrix B
{ 1}

{x=-2} = A*(B^-1)

I used excel for all my calculation and a helpful tutorial can be found here. I hope this helps and have a nice day!

May 05, 2011 | Computers & Internet

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Sum to n terms of the series 1+5+12+22..........

You did not provide a general (n) term. However, I figured it to be something involving n^2. Hence the sum to n terms can be of the form: xn^3 + yn^2 + zn. Using the partial sums: 1, 6 (1+5), and 18 (1+5+12) we can build a linear equations system:
1= x + y +z (n=1)
6 = 8x + 4y +2z (n=2, n^2=4, n^3 = 8)
18 = 27x + 9y + 3z (n=3, n^=9, n^=27)
Solving for x,y,z we get x = 1/2, y= 1/2, z =0
Hence 1+5+12+22+..+ f(n^2)= 1/2(n^3+n^2)

Nov 04, 2010 | Refrigerators

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How do I solve x and y in the following equations? 5x+3y=6 2x-4y=5 Thank you

You can solve it with following method.

5x+3y=6 2x-4y=5
So 5x=6-3y so 2[(6-3y)/5]-4y=5
So x=(6-3y)/5 so 12-6y-20y=25
so -26y=25-12
so -26y=13
so y= -(1/2)
so 2x=5+4y
so 2x=5+4(-1/2)
so 2x=(10-4)/2
so 2x=6/4
so x =3/2

The value of x=3/2 and value of y= -1/2

Let me know if you need further assistance.
Thanks for using FixYa.

Mar 03, 2010 | Office Equipment & Supplies

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For instance if I have a problem of 4x+1-x=2x-13+5. how do I enter it in my T E to find wha is X

This calculator does not have a Solve function or a solver. However this example of yours is very simple that you can do it by hand. If you do not mind I will show you how to solve it. Not everything needs a calculator.
You want to solve for x. OK
  1. Start by gathering similar terms 4x-x =3x; -13+5 =-8
  2. Rewrite your equation as 3x+1=2x-8
  3. Make the +1 change side while changing its sign
  4. 4x+1 -1 = 2x-8 -1 or 4x=2x-9
  5. Make +2x on the Right hand side go to the left hand side, changing its sign in the process 4x-2x=-9 or 2x=-9
  6. Divide both members by 2. This gives
  7. x=-9/2 or -4.5 if a decimal result is required.
Hope it helps.

Dec 06, 2009 | Texas Instruments TI-30XA Calculator

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Solving matrix

Go to your matrix button and enter a "3x4" matrix.

Then enter it as follows:

-3 4 5 7
4 3 2 9
-5 5 3 -10

Then exit out and go to "2nd->matrix->math->rref(". Then press enter.

Your screen should look like this:


Then go to matrix and select your 3x4 matrix, press enter and close it with a parathesis. Your screen should look like this:


Press enter and the screen should say this:

1 0 0 2
0 1 0 -3
0 0 1 5


Hope this cleared up the confusion!


Mar 03, 2009 | Texas Instruments TI-84 Plus Calculator

2 Answers

Algebra college

Consider the following system of 3 equations in 3 unknowns:
x + y = 2
2x + 3y + z = 4
x + 2y + 2z = 6Our goal is to transform this system into an equivalent system from which it is easy to find the solutions. We now do this step by step.
  • Subtract 2*(Row1) from Row2 and place the result in the second row; subtract Row1 from Row2 and place in the third row. Leave Row1 as is.
x + y = 2
y + z = 0
y + 2z = 4
  • Subtract Row2 from Row3, and place the result in row3. Leave Row1 and Row2 as they are.
    x + y = 2
    y + z = 0
    z = 4 From the last form of the system we can deduce the following unique solution to the system:
z = 4, y = -4, and x = 2-(-4) = 6Equivalently, we say that the unique solution to this system is (x, y, z) = (6, -4, 4).

Sep 17, 2008 | Belkin (F5D7230-4) Router (587009)

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