document.write( "Question 412052: I am not understanding how to Solve the system of linear equation using matrices\r
\n" ); document.write( "\n" ); document.write( "x+y+z=3
\n" ); document.write( "2x -z=7
\n" ); document.write( " 5y+z=4\r
\n" ); document.write( "\n" ); document.write( "Can you guide me step by step in solving it?
\n" ); document.write( "

Algebra.Com's Answer #289513 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Hi
\n" ); document.write( "Note: finding the value of a 3x3 matrix is done as follows:
\n" ); document.write( "\"%28matrix%283%2C3%2Ca1%2Cb1%2Cc1%2Ca2%2Cb2%2Cc2%2Ca3%2Cb3%2Cc3%29%29\" = a1(b2c3-c2b3) - b1(a2c3-c2a3) + c1(a2b3-b2a3)
\n" ); document.write( "x+y+z=3
\n" ); document.write( "2x -z=7
\n" ); document.write( "5y+z=4 \r
\n" ); document.write( "\n" ); document.write( "D = \"matrix%283%2C3%2C1%2C1%2C1%2C2%2C0%2C-1%2C0%2C5%2C1%29\" = 13
\n" ); document.write( " 1*5 -1*2 +1*10 = 13
\n" ); document.write( "\"D%5Bx%5D+=+matrix%283%2C3%2C3%2C1%2C1%2C7%2C0%2C-1%2C4%2C5%2C1%29\" = 39\r
\n" ); document.write( "\n" ); document.write( "\"D%5By%5D+=+matrix%283%2C3%2C1%2C3%2C1%2C2%2C7%2C-1%2C0%2C4%2C1%29\" = 13\r
\n" ); document.write( "\n" ); document.write( "\"D%5Bz%5D+=+matrix%283%2C3%2C1%2C1%2C3%2C2%2C0%2C7%2C0%2C5%2C4%29\" = -13\r
\n" ); document.write( "\n" ); document.write( " x= 39/13 = 3 y = 13/13 = 1 z =-13/13 = -1 \n" ); document.write( "
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