$\"\"$

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Solve the system of equation using Substitution Method:

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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 equation (1) for y.

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$\"\"$

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

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$\"\"$ (Subtract 4x 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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$\"\"$ (Divide each side by 5)

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$\"\"$ (Cancel common terms)

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$\"\"$

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

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$\"\"$

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

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$\"\"$

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$\"\"$ (Simplify)

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

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

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

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$\"\"$ (Cancel common terms)

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

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

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$\"\"$ (Add 14 to each side)

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

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$\"\"$ (Add: 170 + 14 = 184) \ \ $\"\"$

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

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$\"\"$ (Divide each side by 23)

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

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

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

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$\"\"$

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

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$\"\"$ (Subtract 24 from each side)

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$\"\"$ (Simplify)

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$\"\"$ (Divide each side by negative 2)

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$\"\"$ (Simplify) $\"\"$

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The solution is $\"\"$ .