document.write( "Question 536929: If the line defined by the equation -4x+2y=8 crosses another line with the equation y+(2/3)x+b at the point (3,a), what is the value of b? \n" ); document.write( "
Algebra.Com's Answer #352635 by fcabanski(1391)\"\" \"About 
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The point has to be on both lines. Use the first equation to find a, the y coordinate.


\n" ); document.write( "Assuming that the second equation is supposed to be y + (2/3)x = b. If it is as written in the problem, it doesn't show what it equals and there's no way to determine b.
\n" ); document.write( "Substitute 3 for x.


\n" ); document.write( "-4(3)+2y=8


\n" ); document.write( "-12 + 2y = 8


\n" ); document.write( "Add 12 to both sides.


\n" ); document.write( "2y = 20


\n" ); document.write( "Divide both sides by 2.


\n" ); document.write( "y=10


\n" ); document.write( "So the point is (3,10)


\n" ); document.write( "Plug that point into the second equation to find b.


\n" ); document.write( "10 + (2/3)3 = b = 10+2 =12\r
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