Answer:
The ordered pair [tex](1,1)[/tex] is a solution of the system of equations
Step-by-step explanation:
we have
[tex]y=2x-1[/tex] -----> equation A
[tex]5x-4y=1[/tex] -----> equation B
we know that
If a ordered pair is a solution of the system of equations, then the ordered pair must be satisfy both equations of the system
Verify equation A
Substitute the value of x and the value of y in the equation and then compare
For [tex]x=1,y=1[/tex]
[tex]1=2(1)-1[/tex]
[tex]1=1[/tex] -----> is true
Verify equation B
Substitute the value of x and the value of y in the equation and then compare
For [tex]x=1,y=1[/tex]
[tex]5(1)-4(1)=1[/tex]
[tex]1=1[/tex] -----> is true
therefore
The ordered pair [tex](1,1)[/tex] is a solution of the system of equations
