Solving systems of linear equations

label Algebra
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y=1-x

y=x-5

Solve equation (ordered pairs)

Sep 13th, 2015

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y = 1 – x

y = x – 5

y = x – 5 => -1(y = x – 5) => -y = -x + 5 => -y = 5 – x

Therefore,

 y = 1 – x

-y = 5 – x

0 = 6 – 2x => 0 + 2x = 6 => 2x = 6 => x = 6/2

Therefore, x = 3

Proof:

y = 1 – x

substitute for x

y = 1 – 3

y = -2

y = x – 5

substitute for x

y = 3 – 5

y = -2


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Sep 13th, 2015

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