Question

Solve.

−46=21+3m

Enter your answer as a mixed number in simplest form in the box.

m =

Answer 1

To solve the equation -46 = 21 + 3m, subtract 21 from both sides to isolate 'm'. Then divide by 3 to find 'm'. The answer is -22 and 1/3.

Step-by-step explanation:

To solve the equation -46 = 21 + 3m, we need to isolate the variable 'm'.

1. Start by subtracting 21 from both sides of the equation: -46 - 21 = 21 + 3m - 21. Simplifying this gives -67 = 3m.
2. Next, divide both sides of the equation by 3 to solve for 'm': -67 / 3 = 3m / 3. This simplifies to -22.33 = m.
3. However, we need to express the answer as a mixed number in simplest form. Since -22.33 can be interpreted as -22 - 0.33, the mixed number in simplest form is -22 and 1/3.

Answer 2

-22 1/3

Step-by-step explanation:

We should start by subtracting both sides of the equality by 21.

After doing this, we get that -67=3m.

Furthermore, we can divide both sides by 3 and get -67/3=m.

However, this is an improper fraction, not a mixed number.

If we divide -67 by 3, we get -22 1/3.

Therefore, m= -22 1/3