document.write( "Question 1085622: solve simultaneous equations algebraically
\n" ); document.write( "3x+y=3
\n" ); document.write( "2x-y=7 \n" ); document.write( "

Algebra.Com's Answer #699688 by rothauserc(4718) $\"\"$ $\"About$

You can put this solution on YOUR website!
1) 3x + y = 3
\n" ); document.write( "2) 2x - y = 7
\n" ); document.write( ":
\n" ); document.write( "solve equation 1 for y
\n" ); document.write( ":
\n" ); document.write( "y = 3 - 3x
\n" ); document.write( ":
\n" ); document.write( "substitute for y in equation 2
\n" ); document.write( ":
\n" ); document.write( "2x - (3 - 3x) = 7
\n" ); document.write( ":
\n" ); document.write( "2x -3 + 3x = 7
\n" ); document.write( ":
\n" ); document.write( "5x = 10
\n" ); document.write( ":
\n" ); document.write( "x = 2
\n" ); document.write( "y = 3 - 3x = 3 - 3(2) = -3
\n" ); document.write( ":
\n" ); document.write( "**************************************************************
\n" ); document.write( "x = 2 and y = -3
\n" ); document.write( ":
\n" ); document.write( "check answers by substituting for x and y in equations 1 and 2
\n" ); document.write( ":
\n" ); document.write( "1) 3(2) + (-3) = 3
\n" ); document.write( "3 = 3
\n" ); document.write( ":
\n" ); document.write( "2) 2(2) - (-3) = 7
\n" ); document.write( "7 = 7
\n" ); document.write( ":
\n" ); document.write( "our answers check
\n" ); document.write( "**************************************************************
\n" ); document.write( ":
\n" ); document.write( " \n" ); document.write( "

\n" );