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Lecture 2

MAT 114 Lecture 2: Section+3.1 2


Department
Mathematics
Course Code
MAT 114
Professor
Lisa Holden
Lecture
2

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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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