document.write( "Question 1132158: Solve the linear system:4x+7y=-9 3x=3y+18 \n" ); document.write( "
Algebra.Com's Answer #749108 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "If both linear equations are given in the form Ax+By = C, solving the system by elimination is almost always easier than solving by substitution.

\n" ); document.write( "And if either given equation can be simplified, doing that will nearly always make the rest of the work easier.

\n" ); document.write( "\"4x%2B7y+=+-9\"
\n" ); document.write( "\"3x-3y+=+18\" --> \"x-y+=+6\"

\n" ); document.write( "Multiply the second equation by 7 and add to the first equation, eliminating y:

\n" ); document.write( "\"4x%2B7y+=+-9\"
\n" ); document.write( "\"7x-7y+=+42\"
\n" ); document.write( "\"11x+=+33\"
\n" ); document.write( "\"x+=+3\"

\n" ); document.write( "Substitute x = 3 in either original equation and solve for y:
\n" ); document.write( "\"3-y+=+6\"
\n" ); document.write( "\"-y+=+3\"
\n" ); document.write( "\"y+=+-3\"

\n" ); document.write( "ANSWER: (3,-3)
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