Solve 3a+4b=1-2c/d for c. (can you show all your steps? )

Hello!

To solve for c, we will need to use SADMEP. SADMEP is strictly used to solve algebraic equations. It is an acronym for subtraction, addition, division, multiplication, exponents, and parentheses. There are some cases in which we need to divide or multiply before subtracting/adding terms, like in this problem. Our main goal is to isolate c.

3a + 4b = (1 - 2c)/d (multiply both sides by d)

d(3a + 4b) = 1 - 2c (subtract 1 from both sides)

d(3a + 4b) - 1 = 2c (divide both sides by 2)

d(3a + 4b)/2 - 1/2 = c

We can simplify still this equation.

(3ad + 4bd)2 - 1/2 = c (distribute d)

3ad/2 + 4bd/2 - 1/2 = c (divide 3ad and 4bd by 2)

3ad/2 + 2bd - 1/2 = c (simplify)

Therefore, c is equal to 3ad/2 + 2bd - 1/2.

answer: check all that apply, where the options?

step-by-step explanation: