Systems Of Equations Term Paper

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Systems of Equations Solve for X and Y

X + Y=6, 2X + Y = 8

7X + 3Y = 14, 5X + 9Y = 10

4X + Y = 16, 2X + 3Y = 24

Y = 25, 8X - 2Y = 14

Using the elimination method for solving simultaneous equations we get

X + Y=6, 2X + Y = 8

X + Y = 6 -- ( [1]

2X + Y = 8 -- ( [2]

( (Changing signs)

Substituting X = 2 in [1] we get

+ y = 6

y = 6 -- 2

y = 4

Therefore x = 2 and y = 4

X and y values thus found can be verified by substituting them in any one of the given equations.

2X + Y = 8

L.H.S = R.H.S

7X + 3Y = 14, 5X + 9Y = 10

7X + 3Y = 14 -- ((1)

5X + 9Y = 10 -- >(2)

Multiplying (1) by 5, we get

35x + 15y = 70 -- ( (3)

Multiplying (2) by 7, we get

35x + 63y = 70 -- ( (4)

(3)- (4),we get

-48y = 0

y = 0

Substituting y = 0 in [1] we get

7x +...

...

4X + Y = 16, 2X + 3Y = 24
4X + Y = 16 -- ((1)

2X + 3Y = 24 -- ((2)

Multiplying (1) by 3, we get

12X + 3Y = 48 -- ((3)

(3)-(2), we get

10x = 24

=> x = 2.4

Substituting x = 2.4 in (1) we get

4(2.4) + y = 16

9.6 + y = 16

=> y = 16 -- 9.6

=> y = 6.4

The values are

X = 2.4, y = 6.4

Verification:-

Substituting x = 2.4,y = 6.4 in (2) we get

2(2.4) + 3(6.4) = 24

4.8 + 19.2 = 24

L.H.S = R.H.S

d. 12X + Y = 25, 8X - 2Y = 14

12X + Y = 25 -- ((1)

8X - 2Y = 14 -- ((2)

Multiplying (1) by 2, we get

24x + 2y =…

Sources Used in Documents:

Bibliography

1)Matthew Pinkey, "Simultaneous Equations,"

Accessed on March 16th 2005,

http://www.mathsrevision.net/gcse/pages.php?page=3

2) Blacksacademy, "Simultaneous Equations in Three Unknowns,"
http://www.blacksacademy.co.uk/data/MAQAST11.pdf


Cite this Document:

"Systems Of Equations" (2005, March 17) Retrieved May 5, 2024, from
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"Systems Of Equations" 17 March 2005. Web.5 May. 2024. <
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"Systems Of Equations", 17 March 2005, Accessed.5 May. 2024,
https://www.paperdue.com/essay/systems-of-equations-63413

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