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  • 02-12-2019
  • Mathematics
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the sum of two numbers is 126 and their difference is 42. what are two numbers

Respuesta :

gmany
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  • 02-12-2019

Answer:

84, 42

Step-by-step explanation:

[tex]x,\ y-numbers\\\\\text{The system of equations:}\\\\\underline{+\left\{\begin{array}{ccc}x+y=126\\x-y=42\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad2x=168\qquad\text{divide both sides by 2}\\.\qquad x=84\\\\\\\text{Put the value of}\ x\ \text{to the first equation:}\\\\84+y=126\qquad\text{subtract 84 from both sides}\\y=42[/tex]

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