document.write( "Question 1193490: Find two systems of linear equations that have the ordered pair (-2,1) as a solution. \n" ); document.write( "

Algebra.Com's Answer #825540 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Ikleyn's was indeed the easiest possible answer.  But you are to \r\n" );
document.write( "find TWO SYSTEMS. Ikelyn has only given you one system.  I'll show \r\n" );
document.write( "you how to find a second system.\r\n" );
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document.write( "But instead of doing it for you, I'll do one exactly like it but\r\n" );
document.write( "change the ordered pair.  I'll do this one instead:\r\n" );
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Find two systems of linear equations that have the ordered pair
\n" ); document.write( "(-3,2) as a solution.

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document.write( "Make up 4 easy numbers at random for coefficients.\r\n" );
document.write( "I'll arbitrarily pick 4,3,2, and -5 to use for \r\n" );
document.write( "coefficients of x and y for the left sides of two \r\n" );
document.write( "equations. Put blanks to be filled in on the right \r\n" );
document.write( "side of each equation:\r\n" );
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document.write( "Now, to the side, we determine what two numbers to put in the blanks\r\n" );
document.write( "on the right, by substituting the given ordered pair's coordinates \r\n" );
document.write( "for x and y in the left sides.\r\n" );
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document.write( "left side of first equation: 4x+3y = 4(-3)+3(2) = -12+6 = -6 \r\n" );
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document.write( "So we put a -6 in the first blank:\r\n" );
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document.write( "Substitute in the other left side\r\n" );
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document.write( "left side of second equation = 2x-5y = 2(-3)-5(2) = -6-10 = -16 \r\n" );
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document.write( "So we put a -16 in the second blank:\r\n" );
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document.write( "That's the system. Now do your problem the \r\n" );
document.write( "same way.  Maybe you like Ikleyn's simple \r\n" );
document.write( "solution, but you might want to make up \r\n" );
document.write( "another one like this.\r\n" );
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document.write( "Edwin

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