Chapter 1 - Systems of Linear Equations - 1.1 Introduction to Systems of Linear Equations - 1.1 Exercises - Page 10: 13

There are no solutions for this system.

$x - y = 1$ $-2x + 2y = 5$ Express x in terms of y from the first equation. $x = 1 + y$ Substitute x to solve for y in the second equation. $-2*(1+y)+2y=5$ $-2y +2y -2 = 5$ $-2 = 5$ This shows us that there are no solutions for this system.