document.write( "Question 257959: Solve the equations by substitution.\r
\n" );
document.write( "\n" );
document.write( "5x - 6 = y
\n" );
document.write( "2x - 3y = 4\r
\n" );
document.write( "\n" );
document.write( "x = ?
\n" );
document.write( "y = ?\r
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #189830 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! 5x - 6 = y \n" ); document.write( "2x - 3y = 4 replace y with (5x-6) in this equation & solve for x \n" ); document.write( "2x-3(5x-6)=4 \n" ); document.write( "2x-15x+18=4 \n" ); document.write( "-13x=4-18 \n" ); document.write( "-13x=-14 \n" ); document.write( "x=-14/-13 \n" ); document.write( "x=14/13 ans. \n" ); document.write( "5*14/13-6=y \n" ); document.write( "70/13-6=y \n" ); document.write( "70/13-78/13=y \n" ); document.write( "y=-8/13 ans. \n" ); document.write( "Proof: \n" ); document.write( "2*14/13-3*-8/13=4 \n" ); document.write( "28/13+24/13=4 \n" ); document.write( "52/13=4 \n" ); document.write( "4=4 \n" ); document.write( " |