$\"\"$

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Elimination Method:

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The equations are

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$\"\"$ Equation (1)

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$\"\"$ Equation (2)

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Since the coefficients of the k-terms are same, you can eliminate these terms by subtracting the equations. Subtract the equations to eliminate variable k.

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Write equations in column form and subtract the corresponding columns.

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$\"\"$

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Apply division property of equality: Divide each side by 4.

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$\"\"$

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$\"\"$ (Cancel common terms) $\"\"$

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Now, find the k value by substituting $\"\"$ in $\"\"$ .

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$\"\"$

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

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Apply addition property of equality: Add 10 to each side.

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$\"\"$

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Rearrange the terms using commutative property of addition: a + b = b + a.

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$\"\"$

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

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

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$\"\"$ (Add: $\"\"$ ) $\"\"$

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Apply division property of equality: Divide each side by 4.

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$\"\"$

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$\"\"$ (Cancel common terms) $\"\"$

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The solution is $\"\"$ .