$\"\"$

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The equations are

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$\"\"$ Equation (1)

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$\"\"$ Equation (2)

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Solve the second equation for j in terms of k.

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Apply subtraction property of equality; if a = b, then $\"\"$ .

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

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Apply commutative property of addition: $\"\"$ .

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$\"\"$

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

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

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$\"\"$

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Substitute $\"\"$ in Equation (1).

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$\"\"$

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Distribute terms using Distributive property: $\"\"$ .

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$\"\"$

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

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

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Apply commutative property of addition: $\"\"$ .

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$\"\"$

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

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$\"\"$

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Apply addition property of equality; if a = b, then a + c = b + c.

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$\"\"$ (Add 42 to each side)

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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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$\"\"$

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

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$\"\"$ (Divide each side by 5)

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$\"\"$ (Cancel common terms)

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

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$\"\"$

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Substitute $\"\"$ in equation in equation $\"\"$ .

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$\"\"$

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

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$\"\"$

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The solution is $\"\"$ .

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