document.write( "Question 81485: find values for m and b in the following system so that the solution to the system is (-3,4).
\n" ); document.write( "5x + 7y = b
\n" ); document.write( "mx + y = 22
\n" ); document.write( "

Algebra.Com's Answer #58482 by ankor@dixie-net.com(22740)\"\" \"About 
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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
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\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
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\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
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\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
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\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
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\n" ); document.write( "If you graph it will look like this with intersection a x,y -3,4
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+3x%2B13%2C+-6x+-+14%29+\"
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\n" ); document.write( "Did this help?
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