document.write( "Question 150418: Solve the system
\n" ); document.write( "5x+3y=-13
\n" ); document.write( "7x-2y=19\r
\n" ); document.write( "\n" ); document.write( "What is the solution to the system? \n" ); document.write( "

Algebra.Com's Answer #110400 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Solve the system
\n" ); document.write( "5x + 3y = -13
\n" ); document.write( "7x - 2y = 19
\n" ); document.write( ":
\n" ); document.write( "We can us the elimination method,
\n" ); document.write( "multiply the 1st equation by 2
\n" ); document.write( "multiply the 2nd equation by 3
\n" ); document.write( "results:
\n" ); document.write( "10x + 6y = -26
\n" ); document.write( "21x - 6y = 57
\n" ); document.write( "-------------------addition eliminates y, find x
\n" ); document.write( "31x + 0y = 31
\n" ); document.write( "x = $\"31%2F31\"$
\n" ); document.write( "x = 1
\n" ); document.write( ":
\n" ); document.write( "Find y using the 1st equation, substitute 1 for x:
\n" ); document.write( "5(1) + 3y = -13
\n" ); document.write( "3y = -13 - 5
\n" ); document.write( "3y = -18
\n" ); document.write( "y = $\"%28-18%29%2F3\"$
\n" ); document.write( "y = -6
\n" ); document.write( ":
\n" ); document.write( "Check solutions in the 2nd equation:
\n" ); document.write( "7x - 2y = 19
\n" ); document.write( "7(1) - 2(-6) = 19
\n" ); document.write( "7 + 12 = 19 \n" ); document.write( "

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