Answer: x =-7 and y =10
Step-by-step explanation:
The given system of equations :
\(4x-y=-38..................(1)\\x+y=3...........................(2)\)
Add equation (1) and (2), we get
\(4x+x-y+y=-38+3\\\\\Rightarrow5x=-35\\\\\Rightarrow\ x=\frac{-35}{5}=-7\\\\\Rightarrow\ x=-7\)
Put value of x in (2), we get
\(-7+y=3\\\\\Rightarrow\ y=3+7=10\)
hence, the solution of the given system is x =-7 and y =10.
