Answer
The solution of the system of equations is the ordered set of pairs x,y: $(2,1)$
Work Step by Step
By looking at graph, the solution of the system of equations is the ordered set of pairs x,y: $(2,1)$.
If we want to check the solution we can solve the equation:
1) $2x-y=3$
2) $x+3y=5$
By multiplying the second equation, we get:
2) $2\times(x+3y)=2\times5$
2) $2x+6y=10$
We can now subtract equation 2) from equation 1):
$2x-y-(2x+6y)=3-10$
$-7y=-7$
$y=1$
By substituting it back into equation 2), we get the value of x:
$x+3y=5$
$x+3=5$
$x=2$
The solution of the equation is the ordered set of pairs x,y: $(2,1)$
