8-3n=-3(n-1)+5 Which of the following best describes the solution set to the equation shown? Choose 1 answer: (A) The equation has no solutions. (B) The equation has exactly one solution, n=3. (c) The equation has exactly one solution, n=0. (D) The equation has infinitely many solutions.

Distribute -3: Distribute the -3 on the right side of the equation. -3(n - 1) becomes -3n + 3.Write after distribution: Write the equation after distribution. 8 - 3n = -3n + 3 + 5Combine like terms: Combine like terms on the right side of the equation. -3n + 3 + 5 becomes -3n + 8.Write simplified equation: Write the simplified equation. 8 - 3n = -3n + 8Isolate variable n: Observe that both sides of the equation have the same terms. Since -3n is on both sides, we can subtract -3n from both sides to try to isolate n.Subtract -3n: Subtract -3n from both sides of the equation. 8 - 3n + 3n = -3n + 8 + 3nSimplify after subtraction: Simplify both sides of the equation after subtracting -3n. 8 = 8Recognize true statement: Recognize that the variable n has been eliminated, and we are left with a true statement. Since 8 equals 8, this means that any value of n will satisfy the equation.

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8-3n=-3(n-1)+5
Which of the following best describes the solution set to the equation shown?
Choose 1 answer:
(A) The equation has no solutions.
(B) The equation has exactly one solution,
n=3.
(c) The equation has exactly one solution,
n=0.
(D) The equation has infinitely many solutions.

$8-3n=-3(n-1)+5$ $\newline$ Which of the following best describes the solution set to the equation shown? $\newline$ Choose $1$ answer: $\newline$ (A) The equation has no solutions. $\newline$ (B) The equation has exactly one solution, $n=3$ . $\newline$ (C) The equation has exactly one solution, $n=0$ . $\newline$ (D) The equation has infinitely many solutions.

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Math Problems

Algebra 1

Find the number of solutions to a linear equation

Full solution

8-3n=-3(n-1)+5

\newline

Which of the following best describes the solution set to the equation shown?

\newline

Choose

1

answer:

\newline

(A) The equation has no solutions.

\newline

(B) The equation has exactly one solution,

n=3

\newline

n=0

\newline

(D) The equation has infinitely many solutions.

Distribute $-3$ : Distribute the $-3$ on the right side of the equation. $-3(n - 1)$ becomes $-3n + 3$ .
Write after distribution: Write the equation after distribution. $\newline$ $8 - 3n = -3n + 3 + 5$
Combine like terms: Combine like terms on the right side of the equation. $\newline$ $-3n + 3 + 5$ becomes $-3n + 8$ .
Write simplified equation: Write the simplified equation. $\newline$ $8 - 3n = -3n + 8$
Isolate variable $n$ : Observe that both sides of the equation have the same terms. Since $-3n$ is on both sides, we can subtract $-3n$ from both sides to try to isolate $n$ .
Subtract $-3n$ : Subtract $-3n$ from both sides of the equation. $\newline$ $8 - 3n + 3n = -3n + 8 + 3n$
Simplify after subtraction: Simplify both sides of the equation after subtracting $-3n$ . $8 = 8$
Recognize true statement: Recognize that the variable $n$ has been eliminated, and we are left with a true statement. $\newline$ Since $8$ equals $8$ , this means that any value of $n$ will satisfy the equation.