Find the value of x+y from the following equation: 2[x57y]+[3]=[761514]

Consider 2[x57y]+[3]=[761514] as shown below:
[2x10142y]+[3]=[761514]
[2x+310+12y+2]=[761514]
[2x+36152y]=[761514]
Equating the matrices we get the values of x and y as shown below:
2x+3=7⟹2x=4⟹x=2
2y=14⟹2y=18⟹y=9
Hence x+y=2+9=11.