document.write( "Question 401667: \n" ); document.write( "
Algebra.Com's Answer #284330 by charlth(1) ![]() You can put this solution on YOUR website! Solve each system by substitution. Determine whether the \n" ); document.write( "equations are independent, dependent, or inconsistent.\r \n" ); document.write( "\n" ); document.write( "X=y+3 \n" ); document.write( "3x-2y=4\r \n" ); document.write( "\n" ); document.write( "Here is what I came up with using the substitution method:\r \n" ); document.write( "\n" ); document.write( "X = y + 3 \n" ); document.write( "3x - 2y = 4\r \n" ); document.write( "\n" ); document.write( "Substituting the expression y + 3 for y from the 2nd equation into the 1st equation is as follows:\r \n" ); document.write( "\n" ); document.write( "3x - 2(x + 3) = 4 \n" ); document.write( "3x - 2x - 6 = 4 \n" ); document.write( "3x - 2x - 6 = 4 (add/subtract like terms) \n" ); document.write( "x - 6 + 6 = 4 + 6 (add 6 to both sides) \n" ); document.write( "x = 10\r \n" ); document.write( "\n" ); document.write( "Plugging in If x = 10, then\r \n" ); document.write( "\n" ); document.write( "10 = y + 3\r \n" ); document.write( "\n" ); document.write( "10 - 3 = y + 3 - 3 (subtract -3 from both sides\r \n" ); document.write( "\n" ); document.write( "6 = y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I found that the equations are independent of each other, because both sides does not equal. Please correct me, if I'm wrong. \n" ); document.write( " |