To solve the given system of equations using the substitution method, we can arrange the steps in the correct order:
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\( x - 2y = 11 \) → \( x = 2y + 11 \) (Isolate x)
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Substitute \( x \) in the first equation: \(-7(2y + 11) - 2y = -13\)
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Distribute -7: \(-14y - 77 - 2y = -13\)
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Combine like terms: \(-16y - 77 = -13\)
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Add 77 to both sides: \(-16y = 64\)
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Divide by -16: \(y = -4\)
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Substitute \( y \) back into the equation for \( x \): \( x - 2(-4) = 11\)
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Simplify: \( x + 8 = 11\)
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Solve for \( x \): \( x = 3\)
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Write the solution as an ordered pair: \( (3, -4) \)
So the ordered sequence is: 1 → 2 → 3 → 4 → 5 → 6 → 7 → 8 → 9 → 10.