# (2y)(4y cubed) +(3y squared)(5y squared)

Multiplying monomials

Posted by Anonymous on

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Posted on Jan 02, 2017

SOURCE: 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

Posted on Mar 14, 2009

SOURCE: x-3y=5

2y - x = 3
x = 3y - 5

Add the two equations side by side,

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

2y = 3y - 2

y = 2

Plug this in the second equation to get x,

x = 3(2) - 5

x = 1

So the solution is x = 1, y = 2

or in ordered pair notation (1, 2)

Posted on Jun 29, 2009

mel

Posted on Sep 17, 2010

One not way would be to define a 4x4 matrix Mat A to hold the coefficients of the linear system. Then define a 4x1 column vector Mat V to hold the constants on the right.
Define a third 4x4 matrix Mat B you may leave filled with 0.
On command line, in Run Mat screen enter (Mat A) ^(-1) and store it in the zero-filled matrix Mat B. this is the inverse of Mat A.
If the inverse of Mat A exists, and it does in this case, the solution of the system is obtained as the column vector, resulting from the multiplication of Mat B by column vector Mat V

You can even shorten the procedure by just calculating ((Mat A)^-1)X (Mat V) [EXE]

To summarize

1. Create 4x4 Mat A and type in the coefficients of the linear system.
2. Create a 4x1 column vector Mat V for the right-hand sides
3. Obtain you solution vector as ((Mat A)^-1)X (Mat V) [EXE]
To get the Mat identifier on command line,
• use catalog or
• in RunMat screen, press [OPTN] followed by [F2:Mat], then [F1:Mat].
• At this point the identifier is on command line, and you have to press [ALPHA] [X,Theta, T] to enter letter A.
• You use a similar key sequence to enter Mat V
To calculate the inverse of the matrix just use the [SHIFT][)] key sequence which is (X^-1)
Multiplication operator is the regular [times] key.

Posted on Nov 16, 2010

(9-5+(7-2).4)=24

Posted on Sep 07, 2012

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## Related Questions:

### Multiplying monomials raised by a power

Raise each component to the same power
(ax^2y^3z^5)^6=(a^6)(x^12)(y^18)(z^30)

Aug 28, 2014 | Office Equipment & Supplies

### If y=f(x)=5x+3/4x-5 , show that x=f(y)

Write the equality in the form y=(5X+3)/(4X-5). Insert parentheses to ensure a correct result.
1. Multiply both sides of the equality by (4X-5). This gives (4X-5)y=(5X+3).
2. Open the parentheses as 4Xy-5y=5X+3
3. Subtract 5X from both sides 4Xy-5y-5X=5X-5X+3
4. Add 5y to both sides 4Xy-5X-5y+5y=5y+3 or 4Xy-5X=5y+3
5. Factor the X on the left side X(4y-5)=5y+3
6. If 4y-5 does not vanish, you can isolate X by dividing both members of the equality by (4y-5).
7. You get X=(5y+3)/(4y-5)=f(y)
Compare the initial function f(x) and the function just found: They have the same form: X and y have switched places.

Jun 24, 2012 | Mathsoft StudyWorks! Mathematics Deluxe...

### Tom is 5 times as old as todd.In seven years Tom's age will be 6 years more than 3 times as old as Todd. How old is Todd

Todd is 4 years old.

Let Tom's age = X
Let Todd's age = Y

From the given facts:

X = 5Y

and

X + 7 + 6 = 3 ( Y + 7 )
X+13 = 3Y + 21
X = 3Y + 8

So if:
X=5Y
and
X=3Y+8

Then:
5Y=3Y+8
2Y=8
Y=4

I hope that helps.

Joe.

Sep 14, 2011 | Office Equipment & Supplies

### Michael buys two bags of chips and three boxes of pretzels for 413. He then buys another bag of chips and two boxes of pretzels for 239. Find the cost of each bag of chips and each box of pretzels.

Price of bag of chips s X and price of box of pretzels is Y.
Now you can write following equations:

2X+3Y=413
X+2Y=239

From second equation you know that X is 239-2Y, and you put that in first equation:

2*(239-2Y)+3Y=413

or

-4Y+3Y=413-2*239

Finally we have for Y: Y=65 and X=239-2Y=109.

Aug 13, 2011 | Office Equipment & Supplies

### 2x - 4y = 20 4x + 2y = -20

This should start wit X=something and Y=something, sorry I'm not an human algebra calculator....

Jul 29, 2011 | Computers & Internet

### Definition of special product in algebra types and example of special product in algebra

Product means the result you get after multiplying.
In Algebra xy means x multiplied by y
Likewise when you see (a+b)(a-b) it means (a+b) multiplied by (a-b), which we will be using a lot here!
Special Binomial Products So when you multiply binomials you get ... Binomial Products
And we are going to look at three special cases of multiplying binomials ... so they are Special Binomial Products.
1. Multiplying a Binomial by Itself What happens when you square a binomial (in other words, multiply it by itself) .. ?

(a+b)2 = (a+b)(a+b) = ... ?

The result:

(a+b)2 = a2 + 2ab + b2
You can easily see why it works, in this diagram:

2. Subtract Times Subtract And what happens if you square a binomial with a minus inside?

(a-b)2 = (a-b)(a-b) = ... ?

The result:

(a-b)2 = a2 - 2ab + b2
3. Add Times Subtract And then there is one more special case... what if you multiply (a+b) by (a-b) ?

(a+b)(a-b) = ... ?

The result:

(a+b)(a-b) = a2 - b2
That was interesting! It ended up very simple.
And it is called the "difference of two squares" (the two squares are a2 and b2).
a2 - b2 is equal to (a+b)(a-b) Note: it does not matter if (a-b) comes first:

(a-b)(a+b) = a2 - b2
The Three Cases Here are the three results we just got:
(a+b)2 = a2 + 2ab + b2 } (the "perfect square trinomials") (a-b)2 = a2 - 2ab + b2 (a+b)(a-b) = a2 - b2 (the "difference of squares") Remember those patterns, they will save you time and help you solve many algebra puzzles.
Using Them So far we have just used "a" and "b", but they could be anything.
Example: (y+1)2
We can use the (a+b)2 case where "a" is y, and "b" is 1:

(y+1)2 = (y)2 + 2(y)(1) + (1)2 = y2 + 2y + 1

Example: (3x-4)2
We can use the (a-b)2 case where "a" is 3x, and "b" is 4:

(3x-4)2 = (3x)2 - 2(3x)(4) + (4)2 = 9x2 - 24x + 16

Example: (4y+2)(4y-2)
We know that the result will be the difference of two squares, because:

(a+b)(a-b) = a2 - b2
so:

(4y+2)(4y-2) = (4y)2 - (2)2 = 16y2 - 4
Sometimes you can recognize the pattern of the answer:
Example: can you work out which binomials to multiply to get 4x2 - 9
Hmmm... is that the difference of two squares?
Yes! 4x2 is (2x)2, and 9 is (3)2, so we have:

4x2 - 9 = (2x)2 - (3)2
And that can be produced by the difference of squares formula:

(a+b)(a-b) = a2 - b2
Like this ("a" is 2x, and "b" is 3):

(2x+3)(2x-3) = (2x)2 - (3)2 = 4x2 - 9
So the answer is that you can multiply (2x+3) and (2x-3) to get 4x2 - 9

Jul 26, 2011 | Computers & Internet

### (2x+3y)(3x+2y)

(2x - 3y)(3x + 2y) = 2x*3x + 2x*2y - 3y*3x - 3y*2y
= 6x^2 + 4xy - 9xy - 6y^2
= 6x^2 - 5xy - 6y^2 You multiply each element in the first set of brackets by each element in the second set of brackets and then consolidate like terms and arrange them in sequence of powers, first x and then y. So:
2x by 3x = 6x squared
2x by 2y = 4xy
-3y by 3x = -9xy
-3y by 2y = 6y squared

6x squared -5xy + 6y squared

Dec 04, 2010 | Yahoo Computers & Internet

### 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)
2x-4y=5
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

### 4x+8y=20 -4x+2y=-30

4x+8y=20 || /4
x+2y=5
x=5-2y

-4x+2y=-30 || /2
-2x+y=-15
-2(5-2y)+y=-15
-10+4y+y=-15
5y=-5
y=-1

x=5-2y || y=-1
x=5-2(-1)
x=5+2
x=7

Mar 10, 2009 | Bagatrix Algebra Solved! 2005 (105101) for...

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