Question

X + 2y = 13
-x + y = 5

Answer 1

The solution to the given system of equations is x=1 and y=6

That is the solution is (1,6)

Explanation:

Given system of equations is
`x+2y=13\hfill (1)`

and
`-x+y=5\hfill (2)`

By solving the given equations by using elimination method :

Adding the equations (1) and (2) we get

`x+2y=13`

`-x+y=5`

_____________

3y=18

`y=(18)/(3)`

Therefore y=6

Substitute y=6 in equation (1) we get

`x+2(6)=13`

`x+12=13`

`x=13-12`

Therefore x=1

The solution to the given system of equations is x=1 and y=6

That is the solution is (1,6)