Which method(s) can you use to solve -2/3c = 16
multiply each side by -2/3
multiply each side by -3/2
divided each side by -2/3
multiply each side by 3, then divided each side by -2
divide each side by -2/3
couldn't you multiply each side too? or is that the only method you can use
What do you get when you multiply each side?
To solve the equation -2/3c = 16, you can use the following methods:
1. Multiply each side by -2/3: Multiply both sides of the equation by -2/3 to isolate the variable c. This can be done by multiplying -2/3 to both sides of the equation:
-2/3 * -2/3c = 16 * -2/3
The left side simplifies to c:
c = -32/3
2. Multiply each side by -3/2: Another approach is to multiply both sides of the equation by -3/2. This will also isolate the variable c:
-3/2 * -2/3c = 16 * -3/2
Again, the left side simplifies to c:
c = -24
3. Divide each side by -2/3: Instead of multiplying, you can divide each side of the equation by -2/3:
(-2/3c) / (-2/3) = 16 / (-2/3)
When you divide by -2/3, the fraction becomes:
(-2/3c) * (-3/2) = 16 * (-3/2)
Simplifying the left side gives c:
c = -24
4. Multiply each side by 3, then divide each side by -2: You can also multiply both sides of the equation by 3 to eliminate the fraction:
3 * (-2/3c) = 3 * 16
This simplifies to:
-2c = 48
Then, you can divide each side of the equation by -2 to solve for c:
-2c / -2 = 48 / -2
The left side simplifies to c:
c = -24
Note: All four methods yield the same solution, which is c = -24. The choice of method is up to personal preference.