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)\"\" \"About 
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( "
\n" );