Matt solved the equation 3(z + 1) - 2 = 4z - z - 1. Here are his last two steps: 3z + 1 = 3z - 1 1 = -1 Which statement is true about the equation? Choices: (A)The solution is z = -1. (B)There is no solution because 1 = -1 is a false equation. (C)There are infinitely many solutions because 1 = -1 is a false equation. (D)The solution is (1, -1).

Simplify left side: Simplify the left side of the equation: 3(z + 1) - 2 = 3z + 3 - 2 = 3z + 1 Simplify right side: Simplify the right side of the equation: 4z - z - 1 = 3z - 1 Set equal: Set the simplified left side equal to the simplified right side: 3z + 1 = 3z - 1 Subtract to isolate: Subtract 3z from both sides to isolate the constants: 1 = -1 Analyze solution: Analyze the equation 1 = -1: Since 1 cannot equal -1, this indicates a contradiction, meaning there is no solution to the equation.

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Matt solved the equation $3(z + 1) - 2 = 4z - z - 1$ . Here are his last two steps: $\newline$ $3z + 1 = 3z - 1$ $\newline$ $1 = -1$ $\newline$ Which statement is true about the equation? $\newline$ (A) The solution is $z = -1$ . $\newline$ (B) There is no solution because $1 = -1$ is a false equation. $\newline$ (C) There are infinitely many solutions because $1 = -1$ is a false equation. $\newline$ (D) The solution is $(1, -1)$ .

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Q. Matt solved the equation

3(z + 1) - 2 = 4z - z - 1

. Here are his last two steps:

\newline

3z + 1 = 3z - 1

\newline

1 = -1

\newline

Which statement is true about the equation?

\newline

(A) The solution is

z = -1

\newline

(B) There is no solution because

1 = -1

is a false equation.

\newline

1 = -1

is a false equation.

\newline

(D) The solution is

(1, -1)

Simplify left side: Simplify the left side of the equation: $3(z + 1) - 2 = 3z + 3 - 2 = 3z + 1$
Simplify right side: Simplify the right side of the equation: $4z - z - 1 = 3z - 1$
Set equal: Set the simplified left side equal to the simplified right side: $3z + 1 = 3z - 1$
Subtract to isolate: Subtract $3z$ from both sides to isolate the constants: $\newline$ $1 = -1$
Analyze solution: Analyze the equation $1 = -1$ : Since $1$ cannot equal $-1$ , this indicates a contradiction, meaning there is no solution to the equation.