Chapter 5 - Systems of Equations and Inequalities - Exercise Set 5.1 - Page 527: 41

$(\frac{29}{22}, -\frac{5}{11})$

Multiply 2x = 3y + 4 by 2 4x = 6y + 8 Set 4x = 6y + 8 equal to 4x = 3 - 5y 6y + 8 = 3 - 5y 11y = -5 y = $-\frac{5}{11}$ Plug y into 2x = 3y + 4 2x = 3($-\frac{5}{11}$) + 4 2x = $-\frac{15}{11}$ + 4 2x = $\frac{29}{11}$ x = $\frac{29}{22}$