# 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

- 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.