document.write( "Question 81485: find values for m and b in the following system so that the solution to the system is (-3,4).
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document.write( "5x + 7y = b
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document.write( "mx + y = 22 \n" );
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Algebra.Com's Answer #58482 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Find values for m and b in the following system so that the solution to the system is (-3,4)\r \n" ); document.write( "\n" ); document.write( "5x + 7y = b \n" ); document.write( ": \n" ); document.write( "Find b by using x,y coordinates given -3, 4 \n" ); document.write( "5(-3) + 7(4) = b \n" ); document.write( "-15 + 28 = b \n" ); document.write( "b = + 13 \n" ); document.write( ": \n" ); document.write( "Find the slope (m): using y = mx + 13, and the given coordinates again \n" ); document.write( "y = mx + b \n" ); document.write( "4 = m(-3) + 13 \n" ); document.write( "4 = -3m + 13 \n" ); document.write( "3m = 13 - 4 \n" ); document.write( "3m = 9 \n" ); document.write( "m = +3 \n" ); document.write( ": \n" ); document.write( "the 1st equation: y = 3x + 13 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "mx + y = 22 \n" ); document.write( "Find the slope (m) using the given coordinates x,y; -3,4 \n" ); document.write( "m(-3) + 4 = 22 \n" ); document.write( "-3m = 22 - 4 \n" ); document.write( "-3m = 18 \n" ); document.write( "m = 18/-3 \n" ); document.write( "m = -6 \n" ); document.write( ": \n" ); document.write( "Find b: \n" ); document.write( "y = mx + b \n" ); document.write( "4 = -6(-3) + b \n" ); document.write( "4 = 18 + b \n" ); document.write( "4 -18 = b \n" ); document.write( "b = -14 \n" ); document.write( ": \n" ); document.write( "The 2nd equation: y = -6x - 14 \n" ); document.write( ": \n" ); document.write( "If you graph it will look like this with intersection a x,y -3,4 \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "Did this help? \n" ); document.write( " |