# CHEM

### CHEM

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A
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##### Transcript
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SOLVE: 2x + 2y + 3z = -1 3x - 5y - 2z = 21 7x + 3y + 5z = 10
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USING: Elimination Augmented Matrices Cramer's Rule By Audrey Smith
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2x + 2y + 3z = -1 3x - 5y - 2z = 21 7x + 3y + 5z = 10
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(-5) (-2)
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-10x - 10y -15z = 5 -6x + 10y + 4z = -42
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-10x - 10y -15z = 5 -6x + 10y + 4z = -42
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(-3) (-5)
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-9x + 15y + 6z = -63 -35x - 15y - 25z = -50
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-10x - 10y -15z = 5 -6x + 10y +4z = -42 -9x + 15y + 6z = -63 -35x - 15y - 25z = -50
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-16x - 11z = -37
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-44x - 19z = -113
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-16x - 11z = -37
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-44x - 19z = -113
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180x = 540 540/180=3 x=3
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-16x - 11z = -37
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-16x - 11z = -37
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2x + 2y + 3z = -1 2(3) + 2y + 3(-1) = -1 6 + 2y + (-3) = -1 2y = -4 y = -2
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(3, -2, -1)
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z=-1
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-16(3) - 11z = -37
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-48 - 11z = -37
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2 2 3 -1 3 -5 -2 21 7 3 5 10
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2 2 3 -1 0 16 13 -45 0 8 11 -27
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2 2 3 -1 0 16 13 -45 0 0 -9 9
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2 2 3 -1 0 16 13 -45 0 0 1 -1
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2 2 0 2 0 16 0 -32 0 0 1 -1
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2 0 0 6 0 1 0 -2 0 0 1 -1
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1 0 0 3 0 1 0 -2 0 0 1 -1
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