Answer:
[tex]x=1\\y=3[/tex]
Step-by-step explanation:
You can use the Method of Elimination:
Multiply the first equation by -1, add both equations and then solve for the variable "x":
[tex]\left \{ {{(-1)(2x + y )= 5(-1)} \atop {x + y = 4}} \right.\\\\\left \{ {{(-2x - y = -5} \atop {x + y = 4}} \right. \\.........................\\-x=-1\\\\(-1)(-x)=(-1)(-1)\\\\x=1[/tex]
Now substitute [tex]x=1[/tex] into any of the original equations and solve for the variable "y":
[tex]x + y = 4\\1 + y = 4\\y=4-1\\y=3[/tex]
