Chapter 4 - Section 4.2 - Solving Systems of Linear Equations by the Substitution Method - Exercise Set - Page 300: 8

{(4,1)}

x-4y=0 x=0+4y x=4y Plug this value for x into the other equation. 2x+3y=11 2(4y)+3y=11 8y+3y=11 11y=11 y=$\frac{11}{11}$ y=1 Plug this back into the first equation to find x. x=4y x=4(1) x=4 Therefore the solution is {(4,1)}