document.write( "Question 1144467: if the equations 2x + ky = 6 and px+ 3y = 3 are dependent, the find the values of k and p \n" ); document.write( "
Algebra.Com's Answer #765593 by ikleyn(52794)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "If two equations are DEPENDED,  then the ratio of coefficients at each pair of co-named variables are equal to the ratio of the right sides.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "THEREFORE, you have these two proportions\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    \"2%2Fp\" = \"k%2F3\" = \"6%2F3\" = 2.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "From the proportions, you get\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    p = \"2%2F2\" = 1;   k = 3*2 = 6.    ANSWER\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Answered,  explained,  solved and completed.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "See the lesson\r
\n" ); document.write( "\n" ); document.write( "    - Geometric interpretation of the linear system of two equations in two unknowns \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \"Systems of two linear equations in two unknowns\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "=================\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Come again soon to learn something new (!)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );