$\"\"$

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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 x. $\"\"$

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

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$\"\"$ (Add 4y to each side).

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

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

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

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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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$\"\"$

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

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

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$\"\"$ (Simplify)

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

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$\"\"$ (Multiply each side by 3)

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$\"\"$ (Cancel common terms)

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$\"\"$ (Divide each side by 26)

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

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

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$\"\"$

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

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

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$\"\"$ (Subtract 10 from each side)

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$\"\"$ (Simplify)

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

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

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The solution is $\"\"$ .