Answer: x= -2 and y= -3.
Step-by-step explanation:
The given system of equations :
4x-7y=13 ...(i)
4x + 7y = -29 ....(ii)
By Elimination method, Eliminating (ii) from (i) , we get
[tex]-7y-7y=13-(-29)\\\\\Rightarrow\ -14y=13+29\\\\\Rightarrow\ -14y=42\\\\\Rightarrow\ y=\dfrac{42}{-14}\\\\\Rightarrow\ y=-3[/tex]
Now, Adding (i) and (ii), we get
[tex]8x=-16\\\\\Rightarrow\ x=\dfrac{-16}{8}\\\\\Rightarrow\ x=-2[/tex]
Hence, the solution is : x= -2 and y= -3.