Question

Solve for 1(x+2)+16=14

(A) x=−32 and x=−4
(B) x=−4 and x=0
(C) x=0 and x=28
(D) No solution

Answer 1

To solve the linear equation 1(x+2)+16=14, distribute the 1, combine like terms, and isolate x to find that x = -4. The correct answer is (B) x = -4.

Step-by-step explanation:

The question asks to solve the linear equation 1(x+2)+16=14. To find the solution, follow these steps:

1. Distribute the 1 into the parenthesis: x + 2
2. Add 16 to both sides: x + 2 + 16 = 14
3. Combine like terms: x + 18 = 14
4. Subtract 18 from both sides to isolate x: x = 14 - 18
5. Simplify to find the value of x: x = -4

The correct answer is (B) x = -4. There is only one solution to this equation as it is a linear equation and not a quadratic equation.