Chapter 6 - Systems of Equations and Inequalities - Chapter Review - 6-2 Solving Systems Using Substitution - Page 405: 13

$(3,-10)$ One solution

$-x+y = -13$ $3x-y=19$ $-x+y =-13$ $-x+y+x = -13 +x$ $y = x-13$ $3x-(x-13) = 19$ $3x-x+13 =19$ $2x + 13= 19$ $2x+13-13 = 19-13$ $2x = 6$ $2x/2=6/2$ $x = 3$ $-x+y = -13$ $-3 + y = -13$ $-3+y+3 = -13+3$ $y = -10$