Chapter 5 - Systems of Equations and Inequalities - Exercise Set 5.1 - Page 527: 29

$(\frac{7}{25},-\frac{1}{25})$

$(3x=4y+1)$ $+$ $(3y=1-4x)$ $(3x-4y=1)$ $+$ $(4x+3y=1)$ $(12x-16y=4)$ $-$ $(12x+9y=3)$ $-25y=1$ $y=-\frac{1}{25}$ $3x=4y+1$ $3x=4(-\frac{1}{25})+1$ $3x=-\frac{4}{25}+1$ $3x=\frac{21}{25}$ $x=\frac{7}{25}$ $(\frac{7}{25},-\frac{1}{25})$