rinnanase234
Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Join our platform to get reliable answers to your questions from a knowledgeable community of experts. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

solve the equation
13. 9^3c + 1 = 27^3c - 1​

Sagot :

Simplifying
9(3c + -1) = 27(3c + -1)

Reorder the terms:
9(-1 + 3c) = 27(3c + -1)
(-1 * 9 + 3c * 9) = 27(3c + -1)
(-9 + 27c) = 27(3c + -1)

Reorder the terms:
-9 + 27c = 27(-1 + 3c)
-9 + 27c = (-1 * 27 + 3c * 27)
-9 + 27c = (-27 + 81c)

Solving
-9 + 27c = -27 + 81c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-81c' to each side of the equation.
-9 + 27c + -81c = -27 + 81c + -81c

Combine like terms: 27c + -81c = -54c
-9 + -54c = -27 + 81c + -81c

Combine like terms: 81c + -81c = 0
-9 + -54c = -27 + 0
-9 + -54c = -27

Add '9' to each side of the equation.
-9 + 9 + -54c = -27 + 9

Combine like terms: -9 + 9 = 0
0 + -54c = -27 + 9
-54c = -27 + 9

Combine like terms: -27 + 9 = -18
-54c = -18

Divide each side by '-54'.
c = 0.3333333333

Simplifying
c = 0.3333333333
We appreciate your time. Please come back anytime for the latest information and answers to your questions. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.