Final answer:
To determine which equation has no solution, we need to evaluate the equations and check if both sides are equal. The equation -2x+3 = 4x+4-6x has no solution.
Step-by-step explanation:
To determine which equation has no solution, we need to look for equations where both sides are the same. Let's go through the options.
[A] -2x+3 = 4x+4-6x:
Combining like terms, we have -2x + 3 = -2x + 4. When we simplify further, we get 3 = 4, which is not true. Therefore, [A] has no solution.
[B] 3y+3 = 7y-4y+3:
Combining like terms, we have 3y + 3 = 3y + 3. In this equation, both sides are equal. Therefore, [B] has infinitely many solutions.
[C] -2x+3 = 4x+3-6x:
Combining like terms, we have -2x + 3 = -2x + 3. In this equation, both sides are equal. Therefore, [C] also has infinitely many solutions.
[D] 6x+25= x+5(5+x):
Expanding the parentheses, we have 6x + 25 = x + 25 + 5x. Simplifying further, we get 6x + 25 = 6x + 25, which means both sides are equal. Therefore, [D] also has infinitely many solutions.
So, the only equation with no solution is [A].
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