Question

Solve for each variable:

4(3 - u) + u = 22 + 2u
5c - 4 - 2c + 1 = 8c + 2

A. u = 3, c = -1
B. u = 4, c = 2
C. u = -1, c = 1
D. u = 2, c = -2

Answer 1

To solve for u in the first equation, distribute and combine like terms, then isolate u. The solution is u = -2. To solve for c in the second equation, combine like terms and isolate c. The solution is c = -1.

Step-by-step explanation:

To solve the equation 4(3 - u) + u = 22 + 2u, we need to simplify and solve for u. First, distribute the 4 to the terms in the parentheses: 12 - 4u + u = 22 + 2u. Combine like terms: 12 - 3u = 22 + 2u. Add 3u to both sides: 12 = 22 + 5u. Subtract 22 from both sides: -10 = 5u. Divide by 5: u = -2.

To solve the equation 5c - 4 - 2c + 1 = 8c + 2, we need to simplify and solve for c. First, combine like terms on both sides of the equation: 3c - 3 = 8c + 2. Subtract 3c from both sides: -3 = 5c + 2. Subtract 2 from both sides: -5 = 5c. Divide by 5: c = -1.