document.write( "Question 91417: find the value for m and b in the following system so that the solution to the sysytem is (-3, 4)
\n" ); document.write( "5x+7y =b\r
\n" ); document.write( "\n" ); document.write( "and \r
\n" ); document.write( "\n" ); document.write( "mx+y = 22\r
\n" ); document.write( "\n" ); document.write( "thank you for the help \n" ); document.write( "

Algebra.Com's Answer #66503 by uma(370) $\"\"$ $\"About$

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5x+7y =b \r
\n" ); document.write( "\n" ); document.write( "mx+y = 22
\n" ); document.write( "Given that (-3,4) is a solution to the above system\r
\n" ); document.write( "\n" ); document.write( "Plugging in x = -3 and y = 4 in the first equation,\r
\n" ); document.write( "\n" ); document.write( "5(-3)+7(4) = b\r
\n" ); document.write( "\n" ); document.write( "==> -15+28 = b\r
\n" ); document.write( "\n" ); document.write( "==> 13 = b\r
\n" ); document.write( "\n" ); document.write( "So b = 13\r
\n" ); document.write( "\n" ); document.write( "Now m(-3) + 4 = 22\r
\n" ); document.write( "\n" ); document.write( "==> -3m + 4 = 22
\n" ); document.write( "==> -3m = 22-4
\n" ); document.write( "==> -3m = 18
\n" ); document.write( "==> m = 18/-3\r
\n" ); document.write( "\n" ); document.write( "==> m = -6\r
\n" ); document.write( "\n" ); document.write( "Good Luck!!!
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