Diofant 2

Is equation 70x +52y = 34 ; ; solvable on the set of integers Z?
#0  xxx() called at [/LinSys.php:671]
#1  LinSys::tryIntegerEquations(Array ([0] => x,[1] => y), Array ([0] => 70x +52y = 34), 1) called at [/LinSys.php:326]
#2  LinSys::SolveInner(70x +52y = 34, , , inteqs, 1, , 1, 1) called at [/LinSys.php:220]
#3  LinSys::Solve(70x +52y = 34, , , inteqs) called at [/Example_Generic.php:1274]
#4  Example_Generic->Run(stdClass Object ([example_id] => 333,[title_sk] => Diofant 2,[title_en] => Diofant 2,[title_cz] => Diofant 2,[add_date] => 2012-09-11 02:24:12,[img] => 1diofantos.jpg,[visible] => 1,[text_sk] => Je rovnica   $eq riešiteľná na množine celých čísel Z?,[text_en] => Is equation $eq solvable on the set of integers Z?,[text_cz] => Je rovnice    $eq řešitelná na množině celých čísel Z?,[input_vector] => $q = rand(1,12);
do
{
$a = $q*rand(1,100);
$b = $q*rand(1,100);
}while($a==$b);

$c = rand(0,1) ? rand(1,100) : GCD($a,$b)*rand(2,20);

$ax = kx($a, "x");
$by = kx($b, "+y");

$eq = "$ax $by = $c";,[output_vector] => $r->yn= true;
$gcd = GCD($a,$b); 

$gcd2 = GCD($c, $gcd);
$cc = $c  / $gcd; 
$r->val = $cc == (int) $cc ? 1 : 0;

$r->tex = gcdTex($a,$b) . "

\\frac{ $c }{ $gcd } = $cc " . ( $r->val==1 ? "\\in" : "\\not\\in"). " Z";

$r->inteqs = "$ax $by = $c";,[user_id] => 12,[approved] => 1,[cnt_views] => 25763,[cnt_solved] => 1633,[cnt_solved_ok] => 544,[focus] => 1,[preview_sk] => Je rovnica   ? riešiteľná na množine celých čísel Z?,[preview_en] => Is equation ? solvable on the set of integers Z?,[preview_cz] => Je rovnice    ? řešitelná na množině celých čísel Z?,[preview_vector_sk] => O:8:"stdClass":7:{s:1:"q";i:8;s:1:"a";i:232;s:1:"b";i:576;s:1:"c";i:82;s:2:"ax";s:4:"232x";s:2:"by";s:5:"+576y";s:2:"eq";s:26:"232x +576y = 82";},[preview_vector_en] => O:8:"stdClass":7:{s:1:"q";i:1;s:1:"a";i:70;s:1:"b";i:52;s:1:"c";i:34;s:2:"ax";s:3:"70x";s:2:"by";s:4:"+52y";s:2:"eq";s:24:"70x +52y = 34";},[preview_vector_cz] => O:8:"stdClass":7:{s:1:"q";i:10;s:1:"a";i:720;s:1:"b";i:360;s:1:"c";i:19;s:2:"ax";s:4:"720x";s:2:"by";s:5:"+360y";s:2:"eq";s:26:"720x +360y = 19";},[last_regenerate] => 2019-07-14 15:06:33,[external_url] => ,[suggestion_id] => 0,[fulltext_sk] => ~ diofant 2 je rovnica riesitelna na mnozine celych cisel z algebra celociselna cele cisla prirodzene prvocisla delitelnost najvacsi spolocny delitel nsd 8 rocnik 9 stredna skola 333 ~,[fulltext_en] => ~ diofant 2 is equation solvable on the set of integers z algebra integer natural numbers prime divisibility greatest common divisor gcd 8t 8 th grade 13y 3 y 9t 9 14y 4 high school 333 ~,[fulltext_cz] => ~ diofant 2 je rovnice resitelna na mnozine celych cisel z algebra celociselna cela cisla prirozena prvocisla delitelnost nejvetsi spolecny delitel nsd 8 rocnik 9 stredni skola 333 ~,[english_last_modified] => 0000-00-00 00:00:00,[title] => Diofant 2,[text] => Is equation $eq solvable on the set of integers Z?)) called at [/index_real.php:185]
#5  HackMath->ExampleDetail() called at [/index_real.php:316]
#6  HackMath->ExampleAction() called at [/index_real.php:461]
#7  HackMath->Run() called at [/index_real.php:815]
#8  include(/index_real.php) called at [/index.php:41]