# 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

## 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.