We have to solve the following system of equations using elimination:
x + y = 6 ...(1)
-x + 7y = 2 ...(2)
First let's eliminate x
Add (1) and (2)
=> 8y = 8
=> y = 1
Now let's eliminate y
7*(1) - (2)
=> 7x + 7y + x - 7y = 42 - 2
=> 8x = 40
=> x = 5
The solution of the system of equations is x = 5 and y = 1