Chapter 4 - Section 4.2 - Solving Systems of Linear Equations by the Substitution Method - Exercise Set - Page 300: 18

{(0,0)}

2x-y=0 2x=0+y 2x=y y=2x Plug this value for y into the other equation. 4x+3y=0 4x+3(2x)=0 4x+6x=0 10x=0 x=$\frac{0}{10}$ x=0 Plug this back into the first equation to find y. y=2x y=2(0) y=0 Therefore the solution is {(0,0)}