Mj0623 Mj0623
  • 23-03-2022
  • Mathematics
contestada

Solve the system using elimination.
X + 7y = 25
2x - 7y = -13

Solve the system using elimination X 7y 25 2x 7y 13 class=

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Paounn
Paounn Paounn
  • 27-03-2022

Answer:

[tex](4;3)[/tex]

Step-by-step explanation:

Add the two equations together

[tex]I+II: x+7y+2x-7y=25-13 \rightarrow 3x=12\rightarrow x =4[/tex]

At this point i'd rather replace x=4 in the first equation to get [tex]4+7y=25 \rightarrow 7y=21 \rightarrow y=3[/tex]

To keep eliminating you multiply the first by 2 and subtract the second

[tex]2\times I -II: 2x+14y-2x-(-7y)=50-(-13)\rightarrow 21y=63 \rightarrow y=3[/tex]

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