$\"\"$

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Elimination Method:

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The equations are $\"\"$ and $\"\"$ .

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$\"\"$ Equation (1)

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$\"\"$ Equation (2)

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Multiply by 2 in first equation.

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$\"\"$

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$\"\"$ Equation (3) $\"\"$

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Multiply by 7 in second equation.

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$\"\"$

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$\"\"$

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Since the coefficients of y-terms are additive inverses, these terms can be eliminated by adding equations. Write the equations in column form and add the corresponding columns.

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

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Divide each side by 39.

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$\"\"$

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$\"\"$

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Find the y, substitute $\"\"$ in second equation.

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$\"\"$

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

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Add 25 to each side.

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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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The solution of the system is $\"\"$ .