document.write( "Question 796320: What is the solution to the following system of equations? x + y = 7 and 2x - 2y = 6 \n" ); document.write( "

Algebra.Com's Answer #481338 by Cromlix(4381) $\"\"$ $\"About$

You can put this solution on YOUR website!
2x - 2y = 6....1
\n" ); document.write( "x + y = 7......2
\n" ); document.write( "Adjust Eq(2)
\n" ); document.write( "x + y = 7
\n" ); document.write( "x = 7 - y
\n" ); document.write( "Substitute 7 - y for x
\n" ); document.write( "in Eq (1)
\n" ); document.write( "2x - 2y = 6
\n" ); document.write( "2(7 - y) - 2y = 6
\n" ); document.write( "14 - 2y - 2y = 6
\n" ); document.write( "-4y = 6 - 14
\n" ); document.write( "-4y = -8
\n" ); document.write( "y = 2
\n" ); document.write( "Substitute y = 2 into
\n" ); document.write( "Eq(2)
\n" ); document.write( "x + y = 7
\n" ); document.write( "x + 2 = 7
\n" ); document.write( "x = 7 - 2
\n" ); document.write( "x = 5
\n" ); document.write( "{5, 2}
\n" ); document.write( "Hope this helps.
\n" ); document.write( ":-) \n" ); document.write( "

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