$\"\"$

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The equations are

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$\"\"$

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

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Multiply the first equation by 2

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Now the equation is

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$\"\"$

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$\"\"$ Equation (1)

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Multiply the second equation by 7

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Now the equation is

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$\"\"$

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$\"\"$ Equation (2) $\"\"$

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Since the coefficients of the x-terms, 14 and 14, are additive inverses,

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you can eliminate these terms by adding the equations.

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Subtract the equations to eliminate variable x.

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$\"\"$ (Write the equations in column form and Subtract) $\"\"$

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Apply division property of equality: Divide each side by negative 29.

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$\"\"$

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$\"\"$ (Cancel common terms)

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$\"\"$ (Divide: $\"\"$ )

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Now Substitute $\"\"$ in either equation to find the value of x.

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$\"\"$ (Equation 1) $\"\"$

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$\"\"$ (Multiply: $\"\"$ )

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Apply Subtraction property of equality: Subtract 36 from each side.

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$\"\"$

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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$\"\"$ (Subtract: $\"\"$ ) $\"\"$

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Apply division property of equality: Divide each side by 7.

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$\"\"$

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$\"\"$ (Cancel common terms)

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$\"\"$ (Divide: $\"\"$ )

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The solution is $\"\"$ . $\"\"$

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The solution is $\"\"$ .