Answer:
The solution to the given system of equations is x=1 and y=6
That is the solution is (1,6)
Step-by-step explanation:
Given system of equations is [tex]x+2y=13\hfill (1)[/tex]
and [tex]-x+y=5\hfill (2)[/tex]
By solving the given equations by using elimination method :
Adding the equations (1) and (2) we get
[tex]x+2y=13[/tex]
[tex]-x+y=5[/tex]
_____________
3y=18
[tex]y=\frac{18}{3}[/tex]
Therefore y=6
Substitute y=6 in equation (1) we get
[tex]x+2(6)=13[/tex]
[tex]x+12=13[/tex]
[tex]x=13-12[/tex]
Therefore x=1
The solution to the given system of equations is x=1 and y=6
That is the solution is (1,6)
