9m - 4 = -3m - 4 + 12m
does it have one, many, or no solutions?
thank you :)
Your welcome! :)
To determine whether the equation 9m - 4 = -3m - 4 + 12m has one, many, or no solutions, we need to simplify and solve the equation.
First, let's combine like terms on both sides of the equation. On the right side, we have -3m and +12m, which gives us 9m.
The equation now becomes: 9m - 4 = 9m - 4.
Next, we can observe that the variable term, 9m, appears on both sides of the equation. This means that when we simplify the equation, the variable term will cancel out, resulting in a constant expression.
Subtracting 9m from both sides, we get: -4 = -4.
Now, at this point, we can see that the equation simplifies to -4 = -4.
This means that the equation is an identity, where both sides of the equation are equal for all values of m. In other words, no matter what value of m we substitute into the equation, both sides will always be equal (-4 = -4).
Therefore, the equation 9m - 4 = -3m - 4 + 12m has infinitely many solutions.
I'm pretty sure there are no solutions.
9m - 4 = -3m - 4 + 12m
9m-4 = 9m-4
there are infinitely many solutions, since this is true for any values of m.