sadlittlemochi2 sadlittlemochi2
  • 01-05-2020
  • Mathematics
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Find the solution for the system of linear equations by elimination: -3x + y = 2, 4x - y = 4 Explain how you found the solution.

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MikeMart77
MikeMart77 MikeMart77
  • 01-05-2020

Answer:

[tex]x = 6 \\ y = 20[/tex]

Step-by-step explanation:

1. Add the equations. The y's cancel out.

[tex] + 4x - y = + 4 \\ - 3x + y = + 2 \\ - - - - - - - \\ x = 6[/tex]

2. Embed x in either equation and find y.

[tex]4x - y = 4 \\ 4(6) - y = 4 \\ 24 - y = 4 \\ 20 - y = 0 \\ y = 20[/tex]

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