i have to solve the system of linear equations by elimination. i also have to check my solution.

Answer:
[tex]x=1[/tex], [tex]y=6[/tex]
Step-by-step explanation:
Give.
[tex]x+2y=13[/tex]----------(1)
[tex]-x+y=5[/tex]------------(2)
Solve this linear equation by elimination method.
Add equation 1 and 2
[tex]x+2y=13[/tex]
[tex]-x+y=5[/tex]
-----------------------------
[tex]0+3y=18[/tex]
[tex]3y=18[/tex]
[tex]y=\frac{18}{3} \\y=6[/tex]
Put y value in equation 2
[tex]-x+6=5[/tex]
[tex]-x=5-6[/tex]
[tex]-x=-1[/tex]
[tex]x=1[/tex]
[tex]x=1[/tex], [tex]y=6[/tex]