Answer :

Step by Step Solution:

  • Move 2y in the second equation to the left side to get [tex]x+y =25\\x-2y=-2[/tex]
  • Then subtract the second equation from the first [tex]x+y =25\\-(x-2y=-2) \\[/tex]
  • By subtracting like terms you eliminate x and you are left with y+2y = 3y and 25+2 = 27
  • Which is the equation 3y=27.
  • Divide 3 from both sides to get y=9.
  • Substitute y=9 back into the first equation to get x+9= 25.
  • Subtract 9 from both sides to have x=16
  • (16, 9) is your solution