document.write( "Question 469233: How do I solve:\r
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Algebra.Com's Answer #321920 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
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document.write( "Hi,
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document.write( "Different ways to solve this system. EQs lend to elimination, substitution methods
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document.write( "x+y+z=4
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document.write( "x+y-z=6\r
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document.write( " x +y+z=4  
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document.write( "-x -y+z =-6   |multiplying 2nd Eq thru by -1 to eliminate both x and y
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document.write( "    2z = -2  z = -1\r
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document.write( "2x-3y+(-1)=-1  |substituting z = -1
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document.write( " x+y+(-1)=4
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document.write( "therefore:
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document.write( "2x-3y = 0
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document.write( " x+y = 5\r
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document.write( "2x-3y = 0
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document.write( "-2x-2y = -10   Multiplying 2 EQ thru by -2 to eliminate x
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document.write( "   -5y = -10   y = 2  and x = 3   (x + y = 5)\r
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