$\"\"$

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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 first equation for a in terms of b.

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

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$\"\"$ (Subtract 5a 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 subtractive identity property: $\"\"$ )

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Multiply each side by negative one.

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$\"\"$

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$\"\"$

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$\"\"$

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Substitute $\"\"$ in Equation (2).

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$\"\"$

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$\"\"$

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

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$\"\"$

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

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$\"\"$

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$\"\"$

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Add 34 to each side.

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$\"\"$

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$\"\"$

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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 5.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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The solution is $\"\"$ .