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Substitute into the first equation:
Title: Substitute Into the First Equation: Unlocking Mathematical Mastery --- In the world of mathematics—especially algebra—understanding how to substitute values into equations is a foundational skill that unlocks deeper problem-solving abilities. Whether you're solving linear equations, working with functions, or tackling more complex expressions, mastering substitution gives you the power to evaluate, analyze, and manipulate mathematical relationships with confidence. ### What Does Substitute Mean in Mathematics? To substitute into an equation means to replace a variable with a specific value (or expression) to evaluate the outcome. This simple yet powerful operation is essential in various contexts, such as:
Read more →![\[ 2x + 3(4x - 9) = 16 \].](https://soloferat.biz.id/images/-2x--34x---9--16-.jpg "\[ 2x + 3(4x - 9) = 16 \].")
\[ 2x + 3(4x - 9) = 16 \].
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Simplify: \( 2x + 12x - 27 = 16 \).
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Combine like terms: \( 14x - 27 = 16 \).
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Add 27 to both sides: \( 14x = 43 \).
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Solve for \( x \): \( x = rac{43}{14} \).
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Substitute back to find \( y \):
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![\[ y = 4 imes rac{43}{14} - 9 = rac{172}{14} - rac{126}{14} = rac{46}{14} = rac{23}{7} \].](https://soloferat.biz.id/images/-y--4-imes-rac4314---9--rac17214---rac12614--rac4614--rac237-.jpg "\[ y = 4 imes rac{43}{14} - 9 = rac{172}{14} - rac{126}{14} = rac{46}{14} = rac{23}{7} \].")
\[ y = 4 imes rac{43}{14} - 9 = rac{172}{14} - rac{126}{14} = rac{46}{14} = rac{23}{7} \].
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The solution is \( x = rac{43}{14}, y = rac{23}{7} \).
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#### \( x = rac{43}{14}, y = rac{23}{7} \)
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