Cfrgtkky

I'm new here, so I apologize if my question is badly formatted.

I'm writing my senior thesis up right now for my first capstone project and this is what I have that is giving me trouble:

Which when solved out, gives us that $(q_1, q_2)^T = (frac{7}{45}, frac{1}(9})^T $ 

and $(p_1, p_2) = (frac{1}{5}, frac{1}{15})$

Here is what it is in a larger context:

documentclass[11pt]{amsart}

usepackage{amssymb,latexsym,amsmath,amsthm,enumitem,hyperref}

usepackage{graphics,graphicx,multicol,tikz,pgfplots,tkz-euclide,relsize,framed}

usetikzlibrary{calc}

tikzset{fontscale/.style = {font=relsize{#1}}}



setlength{topmargin}{-0.750in}

setlength{textheight}{9.5in}

setlength{textwidth}{6.5in}

setlength{oddsidemargin}{0in}

setlength{evensidemargin}{0in}

allowdisplaybreaks

renewcommand{labelenumi}{arabic{enumi}.}

renewcommand{labelenumii}{alph{enumii}.}



begin{document}



Since by duality we have solutions to each of these problems, we can calculate that 



$t = p_1 + p_2 = q_1 +q_2 = (p_1, p_2)G'(q_1, q_2)^T$



Setting up our equations, we have



begin{align*}

  5q_1+2q_2 &= ,1 \ 

  0q_1+9q_1 &= ,1 \ 

end{align*}



and 



begin{align*}

  5p_1+0p_2 &= ,1 \ 

  2p_1+9p_1 &= ,1 \ 

end{align*}



which when solved out, gives us that $(q_1, q_2)^T = (7/45, 1/9)^T$ and $(p_1, p_2) = (1/5, 1/15)$





end{document}

I thought I had everything down correctly, but I guess not.