Chapter 4 - Section 4.1 - Solving Systems of Linear Equations by Graphing - Exercise Set - Page 289: 2

a) not a solution b) a solution

a) $2x+y=5$ $x+3y=5$ Let $x=5$ and $y=0$ $2x+y=5$ $2*5+0=5$ $10+0 \ne5$ (false) $x+3y=5$ $5+3*0=5$ $5+0=5$ $5=5$ (true) b) $2x+y=5$ $x+3y=5$ Let $x=2$ and $y=1$ $2x+y=5$ $2*2+1=5$ $4+1=5$ $5=5$ (true) $x+3y=5$ $2+3*1=5$ $2+3=5$ $5=5$ (true)