document.write( "Question 929890: How do I solve this system of equations?\r
\n" ); document.write( "\n" ); document.write( "x+y+4z = 10
\n" ); document.write( "x+y+2z = 4
\n" ); document.write( "x-4y-8z=-36\r
\n" ); document.write( "\n" ); document.write( "Im a little lost because i am not sure what equations to start of with or if the system has infinite solutions. Can someone please help?\r
\n" ); document.write( "\n" ); document.write( "thank you\r
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Algebra.Com's Answer #564559 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Use Cramer's rule.
\n" ); document.write( "\"A=%28matrix%283%2C3%2C%0D%0A1%2C1%2C4%2C%0D%0A1%2C1%2C2%2C%0D%0A1%2C-4%2C-8%29%29\"
\n" ); document.write( "\"abs%28A%29=-10\"
\n" ); document.write( "Since the determinant is not zero, there is a unique solution.
\n" ); document.write( "\"A%5Bx%5D=%28matrix%283%2C3%2C%0D%0A10%2C1%2C4%2C%0D%0A4%2C1%2C2%2C%0D%0A36%2C-4%2C-8%29%29\"
\n" ); document.write( "\"abs%28A%5Bx%5D%29=40\"
\n" ); document.write( "\"A%5By%5D=%28matrix%283%2C3%2C%0D%0A1%2C10%2C4%2C%0D%0A1%2C4%2C2%2C%0D%0A1%2C36%2C-8%29%29\"
\n" ); document.write( "\"abs%28A%5By%5D%29=-20\"
\n" ); document.write( "\"A%5Bz%5D=%28matrix%283%2C3%2C%0D%0A1%2C1%2C10%2C%0D%0A1%2C1%2C4%2C%0D%0A1%2C-4%2C36%29%29\"
\n" ); document.write( "\"abs%28A%5Bz%5D%29=-30\"
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\n" ); document.write( "\"x=abs%28A%5Bx%5D%29%2Fabs%28A%29=%2840%29%2F%28-10%29=-4\"
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\n" ); document.write( "\"y=%28-20%29%2F%28-10%29=2\"
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\n" ); document.write( "\"z=abs%28A%5Bz%5D%29%2Fabs%28A%29=%28-30%29%2F%28-10%29=3\"
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