$\"\"$

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

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$\"\"$ ------------------> (1)

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$\"\"$ ------------> (2)

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$\"\"$ -------------> (3)

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Use elimination to make a system of two equations in two variables.

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Multiply equation (1) by 2.

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$\"\"$ --------------> (4)

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Subtract equations (4) and (2).

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$\"\"$

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$\"\"$ --------------> (5)

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Multiply equation (5) by 5.

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$\"\"$ --------------> (6)

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Multiply equation (1) by 3.

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$\"\"$ --------------> (7)

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Multiply equation (3) by 2.

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$\"\"$ --------------> (8)

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Subtract equations (6) and (7).

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$\"\"$

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$\"\"$ --------------> (8)

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Multiply equation (8) by 7.

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$\"\"$ --------------> (9)

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Subtract equations (9) and (6).

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$\"\"$

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Divide each side by negative 75.

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$\"\"$

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$\"\"$

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$\"\"$

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Substitute $\"\"$ value in equation (9).

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$\"\"$

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Product of two same sings is positive.

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$\"\"$

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Subtract 140 from each side.

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$\"\"$

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$\"\"$

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$\"\"$

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Divide each side by 35.

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$\"\"$

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$\"\"$

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$\"\"$ $\"\"$

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Substitute $\"\"$ and $\"\"$ values in equation (1).

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$\"\"$

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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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$\"\"$

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Divide each side by 2.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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The values are $\"\"$ .