Chapter 6 - Systems of Equations and Inequalities - Chapter Review - 6-2 Solving Systems Using Substitution - Page 405: 17

One solution $(\frac{-11}{17}, \frac{-188}{17})$

$3x + y = -13$ $-2x+5y = -54$ $3x + y = -13$ $3x + y -3x= -13-3x$ $y = -3x-13$ $-2x+5*(-3x-13)= -54$ $-2x -15 x -65 = -54$ $-17x -65=-54$ $-17x - 65+65 = -54+65$ $-17x = 11$ $-17x/-17 = 11/-17$ $x = -11/17$ $3x+y = -13$ $3*(-11/17)+y = -13$ $-33/17 + y = -13$ $-33/17 + y+33/17 = -13+33/17$ $y = -221/17+33/17$ $y=-188/17$