Saturday, July 19, 2008

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Matrices Mathematics: Systems of equations


SYSTEMS OF EQUATIONS To solve a system of two equations with two unknowns we can use one of the following methods: Replacement

Match Reduction

RESOLUTION OF A SYSTEM OF EQUATIONS BY THE METHOD OF SUBSTITUTION

Be the First in a system of equations is the value of one of the unknowns. Let us find the equation and the first course know the value of x
y = 11-3x
is replaced in the other equation, the value previously found
5x-(11-3x) = 13
now have an equation with one unknown; the
solve 5x-11 +3 y = 13 5x +3
+11
x = 13 8x = 24 x = 3

already know the value of x we \u200b\u200bsubstitute in the expression of value and that obtained from the first equation
system y = 11-3x
y = 11-9 y = 2


So the solution to the equations proposed system is x = 3 and y = 2

RESOLUTION OF A SYSTEM OF EQUATIONS BY THE METHOD OF MATCHING
system
Be the first thing we do is clear in both equations the same unknown
both Match equations
11-3x =- 13 +5 x

8x = 24 x = 3
This value of x we \u200b\u200bsubstitute in any of the equations and
y = 11-9 y = 2



RESOLUTION SYSTEM EQUATIONS BY THE METHOD OF REDUCTION
Sea
system will add member to member the two equations that make up the

8x = 24 x = 3 and substituting this value in either equation system y = 2

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