document.write( "Question 149112: Find the solution by substitution:
\n" );
document.write( "3x+8y=22
\n" );
document.write( "10x-2y=16 \n" );
document.write( "
Algebra.Com's Answer #109448 by 24HoursTutor.com(40)![]() ![]() ![]() You can put this solution on YOUR website! 3x+8y=22 and \n" ); document.write( "10x-2y=16\r \n" ); document.write( "\n" ); document.write( "Let us find the value of y in terms of x from the second equation so that we can substitute it in the first one.\r \n" ); document.write( "\n" ); document.write( "10x-2y=16 \n" ); document.write( "10x-16=2y{divide everything by 2 now} \n" ); document.write( "5x-8=y \n" ); document.write( "y=5x-8\r \n" ); document.write( "\n" ); document.write( "Now, substitute this value of y in the first equation :\r \n" ); document.write( "\n" ); document.write( "3x + 8y = 22 \n" ); document.write( "3x + 8(5x-8) = 22 \n" ); document.write( "3x + 40x-64 = 22 \n" ); document.write( "43x - 64 = 22 \n" ); document.write( "43x =22+64 \n" ); document.write( "43x =86 \n" ); document.write( "x = 86/43 = 2 \n" ); document.write( "x=2\r \n" ); document.write( "\n" ); document.write( "Now substitute the value of x in the following equation to get y. \n" ); document.write( "y=5x-8 \n" ); document.write( "y=5(2)-8 \n" ); document.write( "y=10-8=2\r \n" ); document.write( "\n" ); document.write( "Ans. Both the values of x and y are 2. \n" ); document.write( "The above question is solved by one of the experts from 24HoursTutor.com \n" ); document.write( "We provide live 1:1 online homework help \n" ); document.write( "1. 24X7 tutors available \n" ); document.write( "2. Certified tutors \n" ); document.write( "3. Only for $9.99/hr \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |