Department

MathematicsCourse Code

MAT 114Professor

Lisa Holden Lecture

2This

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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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