Question

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

Answer 1

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 $x+2y=13\hfill (1)$

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

$y=\frac{18}{3}$

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)