document.write( "Question 46555: i dont know how to do substitution method x=2y-3 4x+3y=32 \n" ); document.write( "
Algebra.Com's Answer #30849 by tutorcecilia(2152)![]() ![]() You can put this solution on YOUR website! x=2y-3 [Have one of the equations equal to either \"x\" or \"y\"] \n" ); document.write( "4x+3y=32 [Substitute (x=2y-3) for \"x\" in the second equation] \n" ); document.write( "4(2y-3)+3y=32 [Solve for y by simplifying] \n" ); document.write( "8y-12+3y=32 \n" ); document.write( "11y-12=32 \n" ); document.write( "11y-12+12=32+12 \n" ); document.write( "11y/11=44/11 \n" ); document.write( "y=4 \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( "x=2y-3 [Substitute (y=4) back into either equation and solve for \"x\"] \n" ); document.write( "x=2(4)-3 \n" ); document.write( "x=5 \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( "x=2y-3 and 4x+3y=32 [Plug (x=5) and (y=4) back into both equations] \n" ); document.write( "(5)=2(4)-3 [Simplify] \n" ); document.write( "5=5 [Checks out] \n" ); document.write( ". \n" ); document.write( "4x+3y=32 \n" ); document.write( "4(5)+ 3(4)=32 [Simplify] \n" ); document.write( "32=32 [Checks out] \n" ); document.write( " \n" ); document.write( " |