Answer:
1) k = -10
2) n = -4
3) a = -9
Explanation:
1) -4 = 6 + k
*we want to get k alone, so we will subtract 6 from both sides*
-4 = 6 + k
-6 -6
-10 = k
*in order to check this, we will plug the value we found for k, -10, into the original equation*
-4 = 6 + k
-4 = 6 + (-10)
-4 = -4
*this is correct because -4 = -4, so that is how we check*
2) -4n = 16
*we want n alone, we must divide by -4 on both sides*
-4n = 16
n = -4
*in order to check this, we plug what we found for n, -4, into the original equation*
-4n = 16
-4(-4) = 16
*a negative multiplied by a negative is a positive!*
16 = 16
*this is correct because 16 = 16*
3) 3/4a = -12
*we want a alone, so we will multiply by the negative reciprocal to get rid of the fraction on the left side*
a = -12 times 3/4
a = -9
*in order to check this, we will plug what we found for a, 9, into the original equation*
3/4a = -12
3/4 (-9) = -12
-12 = -12
*this is correct because -12 = -12*
i hope this helps! let me know if you need anything else!