$\"\"$

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The equations of linear system are $\"\"$ .

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First solve the equation 1: $\"\"$ and equation 2: $\"\"$ .

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Since the coefficient of the x - term and z - term in the above two equations are same, eliminate these terms by subtracting the equations.

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Rewrite the equation 2 so that the like terms are arranged in columns.

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Write the equations in column form and subtract to eliminate variable x and z.

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$\"\"$ . $\"\"$

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The resultant equation is $\"\"$ and solve it for y.

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Divide each side by 9.

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$\"\"$

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Cancel common terms.

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$\"\"$ . $\"\"$

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Substitute the value of $\"\"$ in equation 1: $\"\"$ and solve for x.

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$\"\"$

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$\"\"$

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Subtract 10 from each side.

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$\"\"$

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$\"\"$

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Divide each side by negative 2.

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$\"\"$

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Cancel common terms.

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$\"\"$ . $\"\"$

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Substitute the value of $\"\"$ in equation 2: $\"\"$ and solve for z.

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$\"\"$

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$\"\"$

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$\"\"$

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Add 13 to each side.

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$\"\"$

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$\"\"$

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Divide each side by 3.

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$\"\"$

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Cancel common terms.

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$\"\"$ . $\"\"$

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The solution $\"\"$ .