document.write( "Question 433873: I DONT UNDERSTAND THIS PLEASE HELP..!\r
\n" );
document.write( "\n" );
document.write( "Use Cramer’s rule to solve for y in the following system of equations.\r
\n" );
document.write( "\n" );
document.write( " x + 4y – 2z = 3
\n" );
document.write( " x + 3y + 7z = 1
\n" );
document.write( " 2x + 9y + z = 8
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #300718 by tlwright(1)![]() ![]() ![]() You can put this solution on YOUR website! Solve using Cramer's Rule:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "x + 4y – 2z = 3 \n" ); document.write( "x + 3y + 7z = 1 \n" ); document.write( "2x + 9y + z = 8 \r \n" ); document.write( "\n" ); document.write( "Step 1, calculate the denominator Delta (Δ):\r \n" ); document.write( "\n" ); document.write( "Δ = (1 * 3 * 1) + (4 * 7 * 2) + (-2 * 1 * 9) - (-2 * 3 * 2) - (1 * 7 * 9) - (4 * 1 * 1) \n" ); document.write( "Δ = 3 + 56 - 18 + 12 - 63 - 4 \n" ); document.write( "Δ = -14\r \n" ); document.write( "\n" ); document.write( "Step 2, calculate the x numerator:\r \n" ); document.write( "\n" ); document.write( "x numerator = (3 * 3 * 1) + (4 * 7 * 8) + (-2 * 1 * 9) - (-2 * 3 * 8) - (3 * 7 * 9) - (4 * 1 * 1) \n" ); document.write( "x numerator = 9 + 224 - 18 + 48 - 189 - 4 \n" ); document.write( "x numerator = 70\r \n" ); document.write( "\n" ); document.write( "Step 3, calculate the y numerator:\r \n" ); document.write( "\n" ); document.write( "y numerator = (1 * 1 * 1) + (3 * 7 * 2) + (-2 * 1 * 8) - (-2 * 1 * 2) - (1 * 7 * 8) - (3 * 1 * 1) \n" ); document.write( "y numerator = 1 + 42 - 16 + 4 - 56 - 3 \n" ); document.write( "y numerator = -28\r \n" ); document.write( "\n" ); document.write( "Step 4, calculate the z numerator:\r \n" ); document.write( "\n" ); document.write( "(1 * 3 * 8) + (4 * 1 * 2) + (3 * 1 * 9) - (3 * 3 * 2) - (1 * 1 * 9) - (4 * 1 * 8) \n" ); document.write( "z numerator = 24 + 8 + 27 - 18 - 9 - 32 \n" ); document.write( "z numerator = 0\r \n" ); document.write( "\n" ); document.write( "Calculate X \n" ); document.write( "x = x numerator \n" ); document.write( " Δ\r \n" ); document.write( "\n" ); document.write( "x = 70 \n" ); document.write( " -14\r \n" ); document.write( "\n" ); document.write( "X = -5\r \n" ); document.write( "\n" ); document.write( "Calculate Y \n" ); document.write( "y = y numerator \n" ); document.write( " Δ\r \n" ); document.write( "\n" ); document.write( "y = -28 \n" ); document.write( " -14\r \n" ); document.write( "\n" ); document.write( "Y = 2\r \n" ); document.write( "\n" ); document.write( "Calculate Z \n" ); document.write( "z = z numerator \n" ); document.write( " Δ\r \n" ); document.write( "\n" ); document.write( "z = 0 \n" ); document.write( " -14\r \n" ); document.write( "\n" ); document.write( "Z = 0 \n" ); document.write( " \n" ); document.write( " |