Question about Microsoft Windows Vista Home Basic for PC

# -3-y=8 y-2z=5 x-2y+z--7 what is the soultion set?

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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.

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Type solve(exp1 and exp2 and exp3, {x,y,z})
See cap images

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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:

rref(

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

rref([A])

Press enter and the screen should say this:

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

So,
x=3
y=-3
z=5

Hope this cleared up the confusion!

SJ_Sharks

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### 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).

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