document.write( "Question 345411: how do i graph 2x<3y+6 \n" ); document.write( "
Algebra.Com's Answer #247010 by haileytucki(390)![]() ![]() You can put this solution on YOUR website! 2x<3y+6\r \n" ); document.write( "\n" ); document.write( "Since y 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( "3y+6>2x\r \n" ); document.write( "\n" ); document.write( "Since 6 does not contain the variable to solve for, move it to the right-hand side of the inequality by subtracting 6 from both sides. \n" ); document.write( "3y>-6+2x\r \n" ); document.write( "\n" ); document.write( "Move all terms not containing y to the right-hand side of the inequality. \n" ); document.write( "3y>2x-6\r \n" ); document.write( "\n" ); document.write( "Divide each term in the inequality by 3. \n" ); document.write( "(3y)/(3)>(2x)/(3)-(6)/(3)\r \n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the inequality by canceling the common factors. \n" ); document.write( "y>(2x)/(3)-(6)/(3)\r \n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the inequality by simplifying each term. \n" ); document.write( "y>(2(x-3))/(3)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x<3y+6\r \n" ); document.write( "\n" ); document.write( "Divide each term in the inequality by 2. \n" ); document.write( "(2x)/(2)<(3y)/(2)+(6)/(2)\r \n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the inequality by canceling the common factors. \n" ); document.write( "x<(3y)/(2)+(6)/(2)\r \n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the inequality by simplifying each term. \n" ); document.write( "x<(3(y+2))/(2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |