Respuesta :

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.

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