4-3y=6y+4-9y 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, y=0. (c) The equation has exactly one solution, y=(4)/(3). (D) The equation has infinitely many solutions.

Combine like terms: Simplify both sides of the equation by combining like terms. On the left side, there are no like terms to combine, so it remains as 4 - 3y. On the right side, combine the terms with y: 6y - 9y = -3y. So the equation becomes: 4 - 3y = -3y + 4Rearrange the equation: Rearrange the equation to bring like terms to the same side. Subtract -3y from both sides to get: 4 - 3y + 3y = -3y + 3y + 4 This simplifies to: 4 = 4Analyze the simplified equation: Analyze the simplified equation. The variable y has been eliminated, and we are left with a statement 4 = 4, which is always true. This means that the equation is true for any value of y. Therefore, the equation has infinitely many solutions.

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4-3y=6y+4-9y
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,
y=0.
(c) The equation has exactly one solution,
y=(4)/(3).
(D) The equation has infinitely many solutions.

$4-3y=6y+4-9y$ $\newline$ 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, $y=0$ . $\newline$ (C) The equation has exactly one solution, $y=\frac{4}{3}$ . $\newline$ (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

4-3y=6y+4-9y

\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,

y=0

\newline

y=\frac{4}{3}

\newline

(D) The equation has infinitely many solutions.

Combine like terms: Simplify both sides of the equation by combining like terms. $\newline$ On the left side, there are no like terms to combine, so it remains as $4 - 3y$ . $\newline$ On the right side, combine the terms with $y$ : $6y - 9y = -3y$ . $\newline$ So the equation becomes: $\newline$ $4 - 3y = -3y + 4$
Rearrange the equation: Rearrange the equation to bring like terms to the same side. $\newline$ Subtract $-3y$ from both sides to get: $\newline$ $4 - 3y + 3y = -3y + 3y + 4$ $\newline$ This simplifies to: $\newline$ $4 = 4$
Analyze the simplified equation: Analyze the simplified equation. $\newline$ The variable $y$ has been eliminated, and we are left with a statement $4 = 4$ , which is always true. $\newline$ This means that the equation is true for any value of $y$ . $\newline$ Therefore, the equation has infinitely many solutions.