$\"\"$

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The equations are

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$\"\"$ Equation (1)

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$\"\"$ Equation (2)

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Multiply the second equation by negative 2.

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$\"\"$ \ \

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$\"\"$ (Distributive property: $\"\"$ )

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

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

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$\"\"$ Equation (3)

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$\"\"$

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Since the coefficients of the x-terms are additive inverses, x-terms can be

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eliminated by adding the equations 1 and 3.

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Write the equations in column form and add the corresponding columns.

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$\"\"$

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$\"\"$

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Apply division property of equality: if a = b then $\"\"$

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$\"\"$ (Divide each side by negative 3)

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$\"\"$ (Cancel commen terms) \ \ $\"\"$

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

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

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

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$\"\"$ (Subtract 5 from each side)

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

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$\"\"$ (Apply additive identity proparty: $\"\"$ )

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

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The solution is $\"\"$ .

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$\"\"$

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The solution is $\"\"$ .