document.write( "Question 179126: What value of \"b\" will make the system y = 3x +4 and y = 1.5x + b intersect at the point (5,19) ? \n" ); document.write( "
Algebra.Com's Answer #134076 by MissionPossible(18)\"\" \"About 
You can put this solution on YOUR website!
y = 3x + 4 --------(1)
\n" ); document.write( "y = 1.5x + b --------(2)\r
\n" ); document.write( "\n" ); document.write( "intersect at the point(5,19) means 5 and 19 should be able to put in the x and y in both eqaution.
\n" ); document.write( "But the first equation is useless.
\n" ); document.write( "Use only the second equation
\n" ); document.write( "Then
\n" ); document.write( "19 = (1.5)5 + b
\n" ); document.write( "19 = 7.5 + b
\n" ); document.write( "Then
\n" ); document.write( "b = 19 - 7.5 = 11.5
\n" ); document.write( "
\n" );