The matrix below represents a system of equations.
2-1 15
1
0
-3
What is the solution to this system of equations?
O
a = 1, b = -1, c = 2
a = 1.5, b = -1, c = 2
a = 2.5, b = -3, c = 2
= 3, b = -3, c = 2

The first choice: , , and .

Step-by-step explanation:

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Add the first row to the second row to obtain:

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Simplify that matrix to obtain:

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Divide the second row by :

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Hence, .

Subtract the current row two from row three:

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Simplify that matrix to obtain:

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Invert the signs in the third row and divide it by to obtain:

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Hence, .

Subtract two times the current second row from the first row to obtain:

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That simplifies to

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Subtract the current third row from the first row to obtain:

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That simplifies to

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Invert the signs in the first row to obtain:

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Hence, .

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