document.write( "Question 348333: Patterns within systems of linear equations. Examine the constants in the first equation and describe any patterns. Repeat for the second equation.
\n" ); document.write( "x+2y=3
\n" ); document.write( "2x-y=-4\r
\n" ); document.write( "\n" ); document.write( "How do I determine patterns across the equation and down for the x values? \n" ); document.write( "

Algebra.Com's Answer #249028 by stanbon(75887) $\"\"$ $\"About$

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Patterns within systems of linear equations. Examine the constants in the first equation and describe any patterns. Repeat for the second equation.
\n" ); document.write( "x+2y=3
\n" ); document.write( "2x-y=-4
\n" ); document.write( "How do I determine patterns across the equation and down for the x values?
\n" ); document.write( "---------------------------
\n" ); document.write( "\"Discribe any patterns\" is a very large order.
\n" ); document.write( "There are many patterns.
\n" ); document.write( "----
\n" ); document.write( "To solve the system,
\n" ); document.write( "Multiply thru the 1st equation by 2 to get:
\n" ); document.write( "2x + 4y = 6
\n" ); document.write( "2x - y =-4
\n" ); document.write( "------
\n" ); document.write( "Subtract the 2nd from the 1st and solve for \"y\":
\n" ); document.write( "5y = 10
\n" ); document.write( "y = 2
\n" ); document.write( "----
\n" ); document.write( "Substitute into 2x-y=-4 and solve for \"x\":
\n" ); document.write( "2x-2 = 4
\n" ); document.write( "x-1 = 2
\n" ); document.write( "x = 3
\n" ); document.write( "---------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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