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X+4y=4 - Computers & Internet

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(x,y) = (4, -2)

Posted on Jan 03, 2011


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Timing on a 4y motor toyota forklift


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Nov 07, 2015 | Toyota Cars & Trucks

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The sum of two numbers is 84.The first is 9 more than 4 times the second.Find the first number.


x + y = 84
x = 4y + 9
so 4y + 9 +y = 84
5y = 75
y = 15
x = 60 + 9 = 69
Check
69 + 15 = 84

Apr 21, 2014 | Computers & Internet

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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...

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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:

x-y-2-diagram.gif
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).
This illustration may help you see why it works:
apb-amb-why.gif 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

1 Answer

Can i ask how to answer this?2x-4y-9=o


That is an equation describing a straight line. The "slope-intercept" form of a line is

y = mx + b

where m is the slope (change in y-value / change in x-value)
and b is the y-intercept (the point where the line crosses the y-axis when x=0)

Positive slope means the line is rising and negative slope means it's falling.

You can rewrite the original equation 2x - 4y -9 = 0 in slope-intercept form:

y = (1/2)x - (9/4)

So you know the slope is positive 1/2 (line rises 1 y-unit for each 2 x-unit change) and crosses the y-axis at -9/4. With this information you can graph the line.

Jul 12, 2011 | Sewing Machines

1 Answer

Solve y in terms of x using this equation x=4y+5


what is the value of x?

if x = 1 in the equation then,
1 = 4y+5
1 - 5 = 4y
-4 = 4y
y = -4/4
y = -1

Jun 30, 2011 | Computers & Internet

2 Answers

2X+4Y=-8


2x + 4y = -8 ; divide each side by 2
x + 2y = -4 ; subtract x from both sides
2y = -4 - x ; rearrange
2y = -1x -4 ; divide each side by 2
y = -1/2x - 2 ; relate to slope/intercept form of line (y=mx+b)

implies there are multiple solutions that fall along a line with slope -1/2 and y intercept of -2
'
\ '
++++++++++
\ '
\ '
Sample points on this line are (-4,0), (-2,-1), (0,-2), (2,-3)

Nov 04, 2010 | Mathsoft StudyWorks! Mathematics Deluxe...

2 Answers

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

1 Answer

2x-4y=8 simplify


2x-4y=8
=> 2[x-2y]=8
=> x-2y=8/2

=> x-2y=4

Feb 07, 2010 | Mathsoft StudyWorks! Mathematics Deluxe...

1 Answer

How do i include an = sign in a math problem ex. 4y=2x 4


See this solution http://www.fixya.com/support/t663157-calculate_equation,

also in the case of your example:

4y=2x4 (4 times y = 2 times x times 4, moving the 4 over makes it divide by 4)

y=2x4 (the 4's cancel out, 4 divided by 4 = 1, 1 times anything is the same)
4

so y=2x (if we move x over it becomes divide by)

so y=2 (y diveided by x = 2 is as far as you can go)
x

Jun 26, 2008 | Casio FX-300MS Calculator

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