\"\"

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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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\"\"         (Multiply each side by negative one)

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\"\"                             (Product of two same signs is positive)

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

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\"\"        (Subtract 40 from each side)

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

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

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

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\"\"                        (Divide each side by 9)

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\"\"                            (Cancel common terms) \ \

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

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\"\"

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

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\"\"

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

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\"\"             (Add 1 to each side)

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\"\"                       (Add: 13 + 3 = 16)

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

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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 2)

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\"\"                                  (Cancel common terms) \ \

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

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\"\"

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The solution is\"\".