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

{(-2,3)}

y=2x+7 Plug this value for y into the other equation. 2x-3y=-13 2x-3(2x+7)=-13 2x-3(2x)-3(7)=-13 2x-6x-21=-13 -4x-21=-13 -4x=-13+21 -4x=8 x=$\frac{8}{-4}$ x=-2 Plug this back into the first equation to find y. y=2(-2)+7 y=-4+7 y=3 Therefore, the solution is {(-2,3)}