document.write( "Question 258106: If the two given equations are being solved so that one unknown is eliminated by the method of comparison. How is this problem expressed in an equation?\r
\n" );
document.write( "\n" );
document.write( "3x+2y=7
\n" );
document.write( "6x-5y=8 \n" );
document.write( "
Algebra.Com's Answer #189961 by drk(1908)![]() ![]() ![]() You can put this solution on YOUR website! We have the following: \n" ); document.write( "(i) 3x+2y=7 \n" ); document.write( "(ii) 6x-5y=8\r \n" ); document.write( "\n" ); document.write( "If by comparison, you mean substitution, then multiply (i) by 2 to get \n" ); document.write( "(iii) 6x+4y=14 \n" ); document.write( "(ii) 6x-5y=8. \n" ); document.write( "Solve (ii) and (iii) for 6x to get \n" ); document.write( "(iv)6x = 14-4y \n" ); document.write( "(v) 6x = 8+5y \n" ); document.write( "Now, \n" ); document.write( "(vi) 14-4y = 8+5y \n" ); document.write( "we can solve this for y and get y = 2/3. Then find x as x = 17/9 \n" ); document.write( " |