To find the solution fo the given system of linear equation,
Let's substitute the equation y = 2x to y - x =1. We get,
[tex]\text{ y - x = 1 }\rightarrow\text{ (2x) - x = 1}[/tex][tex]\text{ x = 1}[/tex]Let's now find the value of y by substituting x = 1 to y =2x.
[tex]\text{ y =2x }\rightarrow\text{ y = 2(1)}[/tex][tex]\text{ y = 2}[/tex]Therefore, the system of the linear equation has one solution and it is (1,2).