SOLUTION: How do I solve this using the elimination method (linear combinations method). Elimination Method Example: Equation 1: 2x-y=4 Equation 2: 2x+5y=16 x will be eliminated This i

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Question 854601: How do I solve this using the elimination method (linear combinations method).
Elimination Method Example:
Equation 1: 2x-y=4
Equation 2: 2x+5y=16
x will be eliminated
This is the answer I got…
equation 2 – equation 1
2x+5y=16
-) 2x-y=4
6y=12
y=12
Substitute y=2 in equation1
2x-y=4
2x-2=4
2x=6
x=3
Answer: x=3, y=2 or (3, 2)
Am I right or wrong… explain.

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
How do I solve this using the elimination method (linear combinations method).
Elimination Method Example:
Equation 1: 2x-y=4
Equation 2: 2x+5y=16
x will be eliminated
This is the answer I got…
equation 2 – equation 1
2x+5y=16
-) 2x-y=4
6y=12
y=12
Substitute y=2 in equation1
2x-y=4
2x-2=4
2x=6
x=3
Answer: x=3, y=2 or (3, 2)
Am I right or wrong… explain.
==============
check your answers by subbing them into the equations.
Equation 1: 2x-y=4
2*3 - 2 = 4?
6 - 2 = 4 fits
-----------
Equation 2: 2x+5y=16
2*3 + 5*2 = 16 also fits, so it's correct.

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