DaymonE330507 DaymonE330507
  • 03-11-2022
  • Mathematics
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solve the system of linear equations by elimination x+2y=13 -x+y=5

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JassonZ40042 JassonZ40042
  • 03-11-2022

To solve the system

[tex]\begin{gathered} x+2y=13 \\ -x+y=5 \end{gathered}[/tex]

we add the two equations to get:

[tex]\begin{gathered} x+2y=13 \\ -x+y=5 \\ --------------_{} \\ 0+3y=18 \end{gathered}[/tex]

Dividing both sides by 3 gives

[tex]y=6[/tex]

with the value of y in hand, we now put it in -x + y = 5 to get

[tex]-x+6=5[/tex]

subtracting 6 from both sides gives

[tex]-x=-1[/tex][tex]x=1[/tex]

Hence, the solution to the system is

[tex]\begin{gathered} x=1 \\ y=6. \end{gathered}[/tex]

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