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Solve the system of equations below by elimination. (Show your work) x+2y=5 2x+6y=12
Question
Solve the system of equations below by elimination.
(Show your work)
x+2y=5
2x+6y=12
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Mathematics
3 years
2021-08-06T18:35:32+00:00
2021-08-06T18:35:32+00:00 1 Answers
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Answers ( )
Answer: y = 1 & x = 3
Step 1: Multiply the first equation by -2 so that the equations cancel out the x
-2 ( x + 2y ) = 5
Step 2: Simplify
-2x -4y = – 10
Step 3: Add equations
(-2x – 4y = -10)
+ (2x + 6y = 12)
————————-
2y = 2
Step 4: Simply by dividing both sides by 2
y = 1
Step 5: Substitute y into either equation & simply
x + 2y = 5
x + 2(1) = 5
x+2=5
x=3