-4+bx=2x+3(x+1) In the equation shown, b is a constant. For what value of b does the equation have no solutions? Choose 1 answer: (A) 3 (B) 4 (C) 5 (D) 6

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-4+bx=2x+3(x+1) In the equation shown,  b is a constant. For what value of  b does the equation have no solutions? Choose 1 answer: (A) 3 (B) 4 (C) 5 (D) 6

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Simplify Equation: First, let's simplify the equation on the right side of the equation. We distribute the 3 across the (x+1) term. Calculation: 2x + 3(x + 1) = 2x + 3x + 3 Result: 2x + 3x + 3 = 5x + 3Rewrite with Simplified Terms: Next, we rewrite the original equation with the simplified right side. Calculation: -4 + bx = 5x + 3 Result: -4 + bx = 5x + 3Check Coefficients and Constants: For the equation to have no solutions, the coefficients of x on both sides must be equal, and the constant terms must be different. This means bx must equal 5x, and -4 must not equal 3. Calculation: bx = 5x Result: b = 5Verify Impossible Condition: However, we must check if our understanding of ＂no solutions＂ is correct. An equation has no solutions if, after simplification, it results in a statement that is always false, such as 0 = 1. In this case, for no solutions, we need an impossible condition. Since b = 5 makes the x terms equal, it does not directly lead to an impossible condition without considering the constants. The mistake here is assuming that making the coefficients equal is enough for no solutions without considering the constants properly. This step contains a misunderstanding of the conditions for no solutions.

$-4+bx=2x+3(x+1)$ $\newline$ In the equation shown, $b$ is a constant. For what value of $b$ does the equation have no solutions? $\newline$ Choose $1$ answer: $\newline$ (A) $3$ $\newline$ (B) $4$ $\newline$ (C) $5$ $\newline$ (D) $6$

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−4+bx=2x+3(x+1)-4+bx=2x+3(x+1)−4+bx=2x+3(x+1)\newlineIn the equation shown, bbb is a constant. For what value of bbb does the equation have no solutions?\newlineChoose 111 answer:\newline(A) 333\newline(B) 444\newline(C) 555\newline(D) 666

$-4+bx=2x+3(x+1)$ $\newline$ In the equation shown, $b$ is a constant. For what value of $b$ does the equation have no solutions? $\newline$ Choose $1$ answer: $\newline$ (A) $3$ $\newline$ (B) $4$ $\newline$ (C) $5$ $\newline$ (D) $6$