document.write( "Question 795426: Solve the linear equation 2x+3y=1, 5x+7y=3 \n" ); document.write( "
Algebra.Com's Answer #481008 by waynest(281)\"\" \"About 
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2x + 3y = 1
\n" ); document.write( "5x + 7y = 3
\n" ); document.write( "change the first equation by multiplying it by 5; and change the second by multiplying it by 2\r
\n" ); document.write( "\n" ); document.write( "10x + 15y = 5
\n" ); document.write( "10x + 14y = 6
\n" ); document.write( "subtract the second equation from the first giving:
\n" ); document.write( "y = -1\r
\n" ); document.write( "\n" ); document.write( "replace y in the first equation with -1
\n" ); document.write( "2x + 3(-1) = 1
\n" ); document.write( "2x - 3 = 1
\n" ); document.write( "2x -3 + 3 = 1 + 3
\n" ); document.write( "2x = 4
\n" ); document.write( "2x/2 = 4/2
\n" ); document.write( "x = 2\r
\n" ); document.write( "\n" ); document.write( "check:
\n" ); document.write( "2(2) + 3(-1) = 1
\n" ); document.write( "4 - 3 = 1
\n" ); document.write( "1 = 1\r
\n" ); document.write( "\n" ); document.write( "5(2) + 7(-1) = 3
\n" ); document.write( "10 - 7 = 3
\n" ); document.write( "3 = 3
\n" ); document.write( " \n" ); document.write( "
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