document.write( "Question 1098542: 2x-y -1
\n" ); document.write( "7x+6y=-6\r
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Algebra.Com's Answer #712940 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!

While the solution by the other tutor is fine, I don't understand why so many people use substitution to solve pairs of equations that are given in this form, when elimination seems to me so much easier.

\n" ); document.write( "\"2x-y+=1\"
\n" ); document.write( "\"7x%2B6y=-6\"

\n" ); document.write( "multiply the first equation by 6 so that the y term is \"-6y\"; then when you add the two equations the y is eliminated, giving you a simple equation to solve for x:
\n" ); document.write( "\"12x-6y+=+6\"
\n" ); document.write( "\"7x%2B6y+=+-6\"
\n" ); document.write( "\"19x+=+0\" [adding the two equations]
\n" ); document.write( "So x = 0; now substitute that value in either of the original equations.
\n" ); document.write( "\"2%280%29-y+=+1\"
\n" ); document.write( "\"-y+=+1\"
\n" ); document.write( "and so y = -1.

\n" ); document.write( "The solution is (x,y) = (0,-1).
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