document.write( "Question 81728: Rewrite the equation –2x – 5y = –40 as a function of x. \n" ); document.write( "
Algebra.Com's Answer #58573 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! Given: \n" ); document.write( ". \n" ); document.write( "- 2x - 5y = -40 \n" ); document.write( ". \n" ); document.write( "Rewrite as a function of x \n" ); document.write( ". \n" ); document.write( "The way to do this problem is simply to solve for y in terms of x and then replace the y \n" ); document.write( "with \"f(x)\". \n" ); document.write( ". \n" ); document.write( "Let's solve for y \n" ); document.write( ". \n" ); document.write( "Begin by adding 2x to both sides of the equation to eliminate the -2x on the left side. When \n" ); document.write( "you add 2x to both sides the result is: \n" ); document.write( ". \n" ); document.write( " - 5y = 2x - 40 \n" ); document.write( ". \n" ); document.write( "Next, solve for y by dividing both sides of this equation by -5, the multiplier of y. When \n" ); document.write( "you divide both sides by -5 you get: \n" ); document.write( ". \n" ); document.write( "y = (2/-5)x -40/-5 \n" ); document.write( ". \n" ); document.write( "and this simplifies to: \n" ); document.write( ". \n" ); document.write( "y = (-2/5)y + 8 \n" ); document.write( ". \n" ); document.write( "Finally, replace the y with \"f(x)\" and the equation becomes: \n" ); document.write( ". \n" ); document.write( "f(x) = (-2/5)x + 8 \n" ); document.write( ". \n" ); document.write( "That's the answer to the problem. Hope this helps you to understand how to get the f(x) form \n" ); document.write( "of an equation. \n" ); document.write( " |