document.write( "Question 391293: write the equation in standard form with integer coefficients -8y=20+2/5x \n" ); document.write( "
Algebra.Com's Answer #277570 by haileytucki(390)![]() ![]() You can put this solution on YOUR website! -8y=20+(2)/(5)*x\r \n" ); document.write( "\n" ); document.write( "Since x is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation. \n" ); document.write( "20+(2)/(5)*x=-8y\r \n" ); document.write( "\n" ); document.write( "Multiply (2)/(5) by x to get (2x)/(5). \n" ); document.write( "20+(2x)/(5)=-8y\r \n" ); document.write( "\n" ); document.write( "Since 20 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 20 from both sides. \n" ); document.write( "(2x)/(5)=-20-8y\r \n" ); document.write( "\n" ); document.write( "Move all terms not containing x to the right-hand side of the equation. \n" ); document.write( "(2x)/(5)=-8y-20\r \n" ); document.write( "\n" ); document.write( "Multiply each term in the equation by 5. \n" ); document.write( "(2x)/(5)*5=-8y*5-20*5\r \n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the equation by canceling the common factors. \n" ); document.write( "2x=-8y*5-20*5\r \n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the equation by multiplying out all the terms. \n" ); document.write( "2x=-40y-100\r \n" ); document.write( "\n" ); document.write( "Divide each term in the equation by 2. \n" ); document.write( "(2x)/(2)=-(40y)/(2)-(100)/(2)\r \n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the equation by canceling the common factors. \n" ); document.write( "x=-(40y)/(2)-(100)/(2)\r \n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the equation by simplifying each term. \n" ); document.write( "x=-20y-50\r \n" ); document.write( "\n" ); document.write( "To rewrite as a function of y (e.g. f(y)), write the equation so that x is by itself on one side of the equal sign and an expression involving only y is on the other side. \n" ); document.write( "f(y)=-20y-50 \n" ); document.write( " |