document.write( "Question 31228: could someone please help me with this equation????\r
\n" ); document.write( "\n" ); document.write( "use elimination to solve:
\n" ); document.write( "6x-y/4=-9
\n" ); document.write( "and 3x+2y=-30
\n" ); document.write( "

Algebra.Com's Answer #17896 by joey_quizan(15)\"\" \"About 
You can put this solution on YOUR website!
given:\r
\n" ); document.write( "\n" ); document.write( "First equation : 6x -y/4 = -9
\n" ); document.write( "Second Equation: 3x + 2y = -30\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Solution:\r
\n" ); document.write( "\n" ); document.write( "Step 1: multiply first equation by 8 to eliminate y\r
\n" ); document.write( "\n" ); document.write( " 8[6x - y/4 = -9]
\n" ); document.write( "
\n" ); document.write( " 48x - 2y = -72 --- eq 3
\n" ); document.write( "Step 2: Add eq 3 and second equation\r
\n" ); document.write( "\n" ); document.write( " 48x - 2y = -72 --- eq 3
\n" ); document.write( " + 3x + 2y = -30 --- second equation
\n" ); document.write( " -------------------
\n" ); document.write( " 51x + 0 = -102
\n" ); document.write( "
\n" ); document.write( " 51x = -102
\n" ); document.write( " --- ----
\n" ); document.write( " 51 51\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " x = -2\r
\n" ); document.write( "\n" ); document.write( "Step 3: substitute the value of x to second equation to find the value of y
\n" ); document.write( "
\n" ); document.write( " 3x + 2y = -30 --- second equation
\n" ); document.write( " 3(-2) + 2y = -30
\n" ); document.write( " -6 + 2y = -30 --- transpose -6 to the other side of the equation
\n" ); document.write( " 2y = -30 + 6
\n" ); document.write( " 2y = -24
\n" ); document.write( " -- ---
\n" ); document.write( " 2 2
\n" ); document.write( " y = -12\r
\n" ); document.write( "\n" ); document.write( "Check if the answere is correct substitute the value of x and y to first equation\r
\n" ); document.write( "\n" ); document.write( " 6x - y/4 = -9 --- first equation
\n" ); document.write( " 6(-2) - (-12/4) = -9
\n" ); document.write( " -12 + 3 = -9
\n" ); document.write( " -9 = -9 --- therefore the answere is corre
\n" ); document.write( "Answere:
\n" ); document.write( "
\n" ); document.write( " x = -2 ; y = -12
\n" ); document.write( "
\n" );