document.write( "Question 242499: y+4=-5x
\n" );
document.write( "y=3x+2 \n" );
document.write( "
Algebra.Com's Answer #177532 by philline_palana(20)![]() ![]() You can put this solution on YOUR website! y+4=-5x >> Equation 1 \n" ); document.write( "y=3x+2 >> Equation 2\r \n" ); document.write( "\n" ); document.write( "First is to transpose all variables in one side.\r \n" ); document.write( "\n" ); document.write( "for Equation 1: \n" ); document.write( "y+4=-5x \n" ); document.write( "5x+y+4=0 >> Our new Equation 1\r \n" ); document.write( "\n" ); document.write( "for Equation 2: \n" ); document.write( "y=3x+2 \n" ); document.write( "3x-y+2=0 >> Our new Equation 2\r \n" ); document.write( "\n" ); document.write( "I'll be using the method of eliminating a variable by addition/subtraction: \n" ); document.write( "I'll be eliminating the variable \"y\" by addition: \n" ); document.write( " 5x+y+4=0 \n" ); document.write( "+ 3x-y+2=0 \n" ); document.write( "----------- \n" ); document.write( " 8x +6=0 >> transpose \n" ); document.write( " 8x = -6 >> divide the equation by 8 \n" ); document.write( " 8x/8 = -6/8 \n" ); document.write( " x = -3/4 >> we have now a value for x, now we will substitute it to Equation 2.\r \n" ); document.write( "\n" ); document.write( "3x-y+2=0 \n" ); document.write( "3(-3/4)-y+2=0 >> transpose y \n" ); document.write( "3(-3/4) + 2 = y >> solve \n" ); document.write( "-9/4 + 2 = y \n" ); document.write( "y = -1/4 >> we have now a value for y\r \n" ); document.write( "\n" ); document.write( "our solution are: x = -3/4 and y = -1/4\r \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |