document.write( "Question 203325: Solve the following system of linear equations using any method. If a solution does not exist, write no solution.
\n" ); document.write( "5x+6y=14
\n" ); document.write( "-3y+x=7 \n" ); document.write( "

Algebra.Com's Answer #153412 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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5x + 6y = 14
\n" ); document.write( "-3y + x = 7
\n" ); document.write( "Arrange it like this:
\n" ); document.write( "5x + 6y = 14
\n" ); document.write( " x - 3y = 7 :(multiply this equation by 2, add to the 1st equation
\n" ); document.write( ";
\n" ); document.write( "5x + 6y = 14
\n" ); document.write( "2x - 6y = 14
\n" ); document.write( "----------------adding eliminates y, find x
\n" ); document.write( "7x = 28
\n" ); document.write( "x = $\"28%2F7\"$
\n" ); document.write( "x = 4
\n" ); document.write( ":
\n" ); document.write( "Find y using the 1st equation
\n" ); document.write( "5(4) + 6y = 14
\n" ); document.write( "20 + 6y = 14
\n" ); document.write( "6y = 14 - 20
\n" ); document.write( "6y = -6
\n" ); document.write( "y = $\"%28-6%29%2F6\"$
\n" ); document.write( "y = -1
\n" ); document.write( ";
\n" ); document.write( "Check solutions using the 2nd equation
\n" ); document.write( "-3y + x = 7
\n" ); document.write( "-3(-1) + 4 = 7
\n" ); document.write( "+3 + 4 = 7 \n" ); document.write( "

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