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Home » Substitute \( x+y = 13 \): \( (x-y)(13) = 45 \). - Blask

Substitute \( x+y = 13 \): \( (x-y)(13) = 45 \). - Blask

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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Expand: \( 20x + 5250 - 35x = 4000 \).
Combine like terms: \( -15x + 5250 = 4000 \).
Solve for \( x \): \( -15x = 4000 - 5250 \) which is \( -15x = -1250 \...
\( x = \frac{-1250}{-15} = \frac{1250}{15} = 83.33 \).
Since \( x \) must be a whole number, check calculations:
Recalculate: \( 20x + 35(150 - x) = 4000 \) leads to \( 20x + 5250 - 3...
Simplify correctly: \( -15x = -1250 \), so \( x = \frac{1250}{15} = 83...
Re-evaluate: Correct calculation should yield \( x = 50 \).
Check: \( 20 \times 50 + 35 \times 100 = 1000 + 3500 = 4500 \), error...
Correct setup: \( 20x + 35(150 - x) = 4000 \), solve again:

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