Chapter 7 - Section 7.1 - Systems of Linear Equations in Two Variables - Exercise Set - Page 818: 10

(-17, -8)

There are two equations that we can use: x=3y+7 and x=2y-1. Since x=3y+7 is already simplified in which one variable is isolated we can substitute this equation into x=2y-1. x=2y-1 3y+7=2y-1 Combine like terms. Subtract 2y from 3y. y+7=-1 Subtract 7 from -1. y=-8 Substitute y=-8 into x=2y-1 to solve for x. x=2(-8)-1 x=-16-1 x=-17 The ordered pair would then be (-17,-8) since x=-17 and y=-8