Is the ordered pair (2,3) a solution of the system of linear equations -2x+3y=5 and 3x+2y=12?

1 Answer
Apr 26, 2016

Answer:

Yes

Explanation:

Substituting #(color(red)(2),color(blue)(3))# for #(color(red)(x),color(blue)(y))#

  • in #-2color(red)(x)+3color(blue)(y)#
    #color(white)("XXX")#gives #-2(color(red)(2))+3(color(blue)(3)) =-4+9 = 5#
    #color(white)("XXX")#So the given coordinates are a solution to the first equation.
  • in #3color(red)(x)+2color(y)=12#
    #color(white)("XXX")#gives #3(color(red)(2))+2(color(blue)(3))=6+6 =12#
    #color(white)("XXX")#So the given coordinates are a solution to the second equation.

Since the given coordinates are a solution to both equations,
they are a solution to the system of equations.