1 point Which of the following equations has no solution? x+3x+6=6+4x 3x-2=2-3x 2x+7x-5=9x+5 4x-5x+3=-5x+4x-3

Simplify Equations: Step Title: Simplify and Compare Each Equation Concise Step Description: Simplify each equation to see if they result in contradictions or identities. Step Calculation: 1. x + 3x + 6 = 6 + 4x 4x + 6 = 6 + 4x 6 = 6 (Identity, not no solution) 2. 3x - 2 = 2 - 3x 3x + 3x = 2 + 2 6x = 4 x = 4/6 x = 2/3 (Solution exists) 3. 2x + 7x - 5 = 9x + 5 9x - 5 = 9x + 5 -5 ≠ 5 (Contradiction, no solution) 4. 4x - 5x + 3 = -5x + 4x - 3 -x + 3 = -x - 3 3 ≠ -3 (Contradiction, no solution)

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Q. Which of the following equations has no solution?

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x+3x+6=6+4x

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3x-2=2-3x

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2x+7x-5=9x+5

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4x-5x+3=-5x+4x-3

Simplify Equations: Step Title: Simplify and Compare Each Equation $\newline$ Concise Step Description: Simplify each equation to see if they result in contradictions or identities. $\newline$ Step Calculation: $\newline$ $1$ . $x + 3x + 6 = 6 + 4x$ $\newline$ $4x + 6 = 6 + 4x$ $\newline$ $6 = 6$ (Identity, not no solution) $\newline$ $2$ . $3x - 2 = 2 - 3x$ $\newline$ $3x + 3x = 2 + 2$ $\newline$ $6x = 4$ $\newline$ $x = \frac{4}{6}$ $\newline$ $x = \frac{2}{3}$ (Solution exists) $\newline$ $3$ . $2x + 7x - 5 = 9x + 5$ $\newline$ $9x - 5 = 9x + 5$ $\newline$ $4x + 6 = 6 + 4x$ $0$ (Contradiction, no solution) $\newline$ $4$ . $4x + 6 = 6 + 4x$ $1$ $\newline$ $4x + 6 = 6 + 4x$ $2$ $\newline$ $4x + 6 = 6 + 4x$ $3$ (Contradiction, no solution)