document.write( "Question 884791: Hello everyone, im stuck on this problem. Your help is greatly appreciated, im lost and have no idea on how to solve it, thanks in advance!\r
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document.write( "Construct a system of two linear equations that has a solution of (-2,6) \n" );
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Algebra.Com's Answer #534660 by josgarithmetic(39617)![]() ![]() ![]() You can put this solution on YOUR website! Try to work with a form of the equation in general, let x=-2 and y=3, and solve for the other variables to be able for the equation to use x and y assigned that way. You'll just need to pick some values for the other numbers until you have one value still unknown but determinable. Solve for it.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Usually you are given two equations and asked for the intersection (answer). Your task now is to start with the answer, the intersection, and find two equations. This is OPEN-ENDED, because the quantity of combinations of such equations is infinite.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "As said, you can start with any form of equation for a line. \n" ); document.write( "ax+by=c \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "ASSIGN some values to any two of a, b, and c; and solve for the remaining of them. That will give you a, b, and c for ONE of the equations. \n" ); document.write( "Now, ASSIGN some DIFFERENT values for any two of a, b, and c; and solve for the remaining unassigned variable. Now have have your second equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You do not need to stick with standard form. You can use slope-intercept form or point-slope form. The choice is YOURS. Your variable names may be different; just watch that you do not mismatch their meanings between certain equation forms. \n" ); document.write( " |