Part a: solve p = 2(l + w) for l. show your work. part b: solve 4w − 7k = 28 for k. show your work.

The equation given to us is called a literal equation. An equation made up of a whole bunch of different variables. If we need to isolate the l, we first have to get it out from inside that set of parenthesis. Do that by distributing the 2 in to get P = 2L + 2w. We will subtract 2w from both sides to get P - 2w = 2L, and then we have to divide everything by 2 to get L alone. That leaves us with

. That is also the same thing as

, whichever one you want. Now, solving 4w - 7k = 28 for k requires that we subtract 4w from both sides leaving us with -7k=28-4w. Now we divide everything by -7 and we end up with

, which is also the same thing as

if you don't like to start with a negative.

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

~