Question

Y=2X-1 5x-4y=1 is (1,1) a solution of the system

Answer 1

You are given the system of equations

$\left\{\begin{array}{l}y=2x-1\\5x-4y=1.\end{array}\right.$

If you want simply to know whether (1,1) is a solution of this system, then substitute x=1 and y=1 into both equations:

$\left\{\begin{array}{l}1=2\cdot 1-1\\5\cdot 1-4\cdot 1=1\end{array}\Rightarrow \begin{array}{l}1=1\\1=1\end{array}\right.$

This means that (1,1) is a solution, because both iqualities hold.