Question

$4-3y=6y+4-9y$
Which of the following best describes the solution set the equation shown above?

• A. The equation has no solution
• B. The equation has exactly one solution, $y=0$
• C. The equation has exactly one solution, $y=\frac{4}{3}$
• D. The equation has infinitely many solution

Answer 1

The correct option is D The equation has infinitely many solution

Let's rewrite the equation
$4-3y=6y-9y+4$
$4-3y=4-3y$

The equation will be true for any value of $y$, since the two sides of the equation are identical.
The equation has infinitely many solutions.