Solve system of equations using elimination method

label Algebra
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x+8y=26

-x+6y=16

Ordered pair..if any

Sep 14th, 2015

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The goal is to get a common coefficient of the two equations, subtract, so as to solve for one variable.

Step 1: Notice we do not have a common coefficient. But if we add the two equations, the x's will still go away

x+8y=26

-x+6y=16

x-x=0

8y+6y=14y

26+16=42

14y=42 (divide by 14 to both sides)

y=3

Step 2: Substitute y=3 into the first equation

x+8y=26

x+8(3)=26 (multiply 8 x 3)

x+24=26 (subtract 24 from both sides)

x=2


Step 3: check your work

2+8(3)=26 check!

-2+6(3)=16 check!


Thus our ordered pair is (2,3).

Please let me know if you need any clarification. I'm always happy to answer your questions. Leave a positive review if you are happy!
Sep 14th, 2015

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