mendozajennifer55 mendozajennifer55
  • 14-02-2019
  • Mathematics
contestada

A first number plus twice a second number is 10. Twice the first number plus the second totals 26. Find the numbers.

Respuesta :

gmany
gmany gmany
  • 24-02-2019

Answer:

42 and -16

Step-by-step explanation:

[tex]m,\ n-the\ numbers\\\\\text{The equations:}\\\\(1)\qquad n+2m=10\\(2)\qquad n+m=26\\\\\text{subtract both sides of the equations}\\\\(n+2m)-(n+m)=10-26\\\\n+2m-n-m=-16\qquad\text{combine like terms}\\\\(n-n)+(2m-m)+-16\\\\\boxed{m=-16}\\\\\text{Put the value of m to (2)}:\\\\n+(-16)=26\\\\n-16=26\qquad\text{add 16 to both sides}\\\\\boxed{n=42}[/tex]

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