document.write( "Question 637456:  What is the solution to the system of linear equations below?\r
\n" );
document.write( "\n" );
document.write( "12y=5x+3
\n" );
document.write( "20x=2y−12 \n" );
document.write( "
| Algebra.Com's Answer #401677 by DrBeeee(684)      You can put this solution on YOUR website! Given: \n" ); document.write( "(1) 12y = 5x + 3 \n" ); document.write( "(2) 20x = 2y - 12 \n" ); document.write( "Rearrange (2) \n" ); document.write( "(2)' 2y = 20x + 12 \n" ); document.write( "Muliply (2)' by 6 \n" ); document.write( "(3) 12y = 120x +72 \n" ); document.write( "Set (3) equal to (1) and simplify \n" ); document.write( "120x + 72 = 5x + 3 \n" ); document.write( "115x = -69 \n" ); document.write( "x = -69/115 \n" ); document.write( "x = -3*23/5*23 \n" ); document.write( "x = -3/5 \n" ); document.write( "Put x into (1) \n" ); document.write( "12y = 5*(-3/5) + 3 \n" ); document.write( "12y = -3 + 3 \n" ); document.write( "y = 0 \n" ); document.write( "Is (X,y) = (-3/5,0) correct? Let's see. \n" ); document.write( "Use (2) \n" ); document.write( "Is (20*(-3/5) = 2*0 -12)? \n" ); document.write( "Is (-60/5 = -12)? \n" ); document.write( "Is (-12=-12)? Yes \n" ); document.write( "The answer is (-3/5,0) \n" ); document.write( " \n" ); document.write( " |