document.write( "Question 428696: I know how to solve for X and Y in linear systems of equations using SUBSTITUTION. My teacher wants us to use ELIMINATION. The tool on this site asks me to check \"Elimination or Substitution\", but even when I ask it to use elimination--it solves my problem by substitution! I don't get the difference!! ex problem:\r
\n" );
document.write( "\n" );
document.write( "7x + 4y = 2
\n" );
document.write( "7x + 2y = 8
\n" );
document.write( " My answer is x=2 y=-3 Which I got by isolating 7x in each equation, then setting 2 equations equal to each other 2-4y = 8-2y \n" );
document.write( "
Algebra.Com's Answer #297918 by htmentor(1343)![]() ![]() You can put this solution on YOUR website! 7x + 4y = 2 \n" ); document.write( "7x + 2y = 8 \n" ); document.write( "To solve by elimination, perform addition or subtraction of the two equations to eliminate one of the variables. In this case, subtract equation (2) from equation (1): \n" ); document.write( "2y = -6 -> y = -3 \n" ); document.write( "To get x, substitute into one of the equations: \n" ); document.write( "7x + 4(-3) = 2 -> 7x = 12 + 2 -> x = 2 \n" ); document.write( "Ans: x=2, y=-3 \n" ); document.write( " |