MAT 114 Lecture Notes - Lecture 2: Whey Protein, Cytosport, Thx

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SECTION 31
Solving systems of Two Equations
in Two Unknown Using
Elimination
ALinear function in two
unknowns
2kt by cwhere
abcare real numbers
abare coefficients
NotE yfxtI
so the slope is Iand
the yintercept is f
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Algebraic Method for Solving a
system of two Equations in
Two unknowns
multiply each equation by
anonzero number so that
the coefficients of are the
same in absolute value but
opposite in sign
Add the two equations to
equations to dominate X
solve the resulting equation
for y
Substitute this value of y
back into one of the original
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equations to find the value
of X
EXCERISE 10
find ALL solutions of the given
system
2x ty2since coefficents
Ix ty2of Xare the
same in absolute
value but
opposite in sign
we are ready
24 4to add to the
two equations
to eliminate X
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Document Summary

Solving systems of two equations in two unknown using. A linear unknowns function in two c where are real numbers. 2kt by a b c a b y f x. Note so the slope is the are coefficients. Algebraic method for solving a system of two equations in. Two unknowns nonzero number multiply each equation by so that a the coefficients of are the same in absolute value but opposite in sign. Add the two equations to equations to dominate x solve for y. Substitute this value of y back into one of the original the resulting equation equations to find the value of x. Excerise find all solutions of the given system. 24 4 the since coefficents of x are same in absolute value but opposite in sign we are ready to add to the two equations to eliminate x. Sub y equations to solve for x the.

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