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Solve for \( x \) \[ 4 x+3 y=17-6 x \]

Ask by Bob Carter. in the United States
Feb 12,2025

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\( x = \frac{17 - 3y}{10} \)

Solución

To solve for x in the equation   4x + 3y = 17 – 6x, we first collect all the terms with x on one side. Adding 6x to both sides gives:   4x + 6x + 3y = 17   10x + 3y = 17 Next, isolate the term with x by subtracting 3y from both sides:   10x = 17 – 3y Finally, divide both sides by 10:   x = (17 – 3y) / 10 Thus, the solution is:   x = (17 – 3y) / 10

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The Deep Dive

To solve for \( x \) in the equation \( 4x + 3y = 17 - 6x \), we first rearrange the equation to isolate \( x \). 1. Add \( 6x \) to both sides: \[ 4x + 6x + 3y = 17 \] This simplifies to: \[ 10x + 3y = 17 \] 2. Now, isolate \( x \) by subtracting \( 3y \) from both sides: \[ 10x = 17 - 3y \] 3. Finally, divide by 10: \[ x = \frac{17 - 3y}{10} \] Thus, the solution for \( x \) in terms of \( y \) is: \[ x = \frac{17 - 3y}{10} \]

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