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Posted on Jul 29, 2011
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2x - 4y = 20 4x + 2y = -20 - Computers & Internet

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  • Master 591 Answers
  • Posted on Jul 29, 2011
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This should start wit X=something and Y=something, sorry I'm not an human algebra calculator....

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  • Posted on Aug 02, 2011
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You need to single out one of the variables but the same in both equations

for example 2x - 4y = 20 (mult by -1)
becomes -2x = -4y - 20

and in the other equation 4x + 2y = -20
becomes 4x = -2y - 20 (subtr 2y from each side)
becomes -2x = y + 10 (div by -2)

since -2x is singled out on both sides you take both formulas without the x and solve for y

so this: -4y - 20 = y + 10
becomes -5y = 30 (subtract 1y from each side and add 20 to each side)
becomes y = -6 (div by -5)

now you know what y is, plug it back into one of the original equations to find x

x = -2
y = -6


note* you could find what x is first by doing the same thing except singling out the y's instead of x's

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1answer

What is a difference among Toyota 1Y, 2Y, 3Y and 4Y carburetors?

Question edited for clarity, add maker.
Question moved from Office Equipment category.

Same carburetor does all 4 Toyota Engines.

https://www.google.com/search?q=1Y%2C+2Y%2C+3Y+and+4Y+carburetors

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Substitute 4 and -4 for x in the equations y=x+1 and 2y-2=2x. Describe the results

y = x+1
y = (4) + 1
y = 5

y = x + 1
y = (-4) + 1
y = -3

2y - 2 = 2x
2y - 2 = 2 (4)
2y - 2 = 8
2y - 2 + 2 = 8 + 2
2y = 10
2y/2 = 10/2
y = 5

2y - 2 = 2(-4)
2y - 2 = -8
2y -2 + 2 = -8 + 2
2y = -6
2y / 2 = -6 /2
y = -3

The results are the same, implying that they are the same line.

Why?

2y - 2 = 2x
2y - 2 + 2 = 2x + 2
2y = 2x + 2
divide everything by 2
y = x + 1

Good luck,

Paul
0helpful
2answers
0helpful
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2x+4y=81,x=?

either x or y has a non integer value as the left side is divisable by 2 but the right side is not.
x + 2y = 40.5
x is dependent on y
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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.
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0helpful
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(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
0helpful
2answers

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)
0helpful
1answer

2x-4y=8 simplify

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

=> x-2y=4
0helpful
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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
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