Question

Using the elimination method how do I find x and y for the following problem:

4x-7y=13
4x + 7y = -29​

Answer 1

Answer: x= -2 and y= -3.

Explanation:

The given system of equations :

4x-7y=13 ...(i)

4x + 7y = -29​ ....(ii)

By Elimination method, Eliminating (ii) from (i) , we get

`-7y-7y=13-(-29)\\\\\Rightarrow\ -14y=13+29\\\\\Rightarrow\ -14y=42\\\\\Rightarrow\ y=(42)/(-14)\\\\\Rightarrow\ y=-3`

Now, Adding (i) and (ii), we get

`8x=-16\\\\\Rightarrow\ x=(-16)/(8)\\\\\Rightarrow\ x=-2`

Hence, the solution is : x= -2 and y= -3.