document.write( "Question 411252: what solution set will satisfy if the system of equation 4x+y=8 a2x=3y+11 are manipulated using substitution?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #289117 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!


\n" );
document.write( "Hi
\n" );
document.write( "Solving system by substition method  ('manipulated'...never heard it put quite that way :)
\n" );
document.write( "4x+y=8  Or y = (-4x-8)
\n" );
document.write( "2x=3y+11
\n" );
document.write( "2x =3(-4x-8) + 11
\n" );
document.write( "2x = -12x - 24 + 11
\n" );
document.write( "14x = -13
\n" );
document.write( "  x = -13/14  and y = -4*-13/14 - 8 = 52/14 - 112/14 = -60/14 = -30/7
\n" );
document.write( "  y = -30/7
\n" );
document.write( "CHECKING our Answer***
\n" );
document.write( "  2x  =  3y+11
\n" );
document.write( " -13/7 = -90/7 + 77/7 = -13/7 \n" );
document.write( "

\n" );