Question

Solve for p. 3 + [1 + p] = 12

a) p = 8 or p = -8
b) p = 14 or p = -16
c) p = 8 or p = -10
d) p = 10 or p = -10

Answer 1

To solve the equation 3 + [1 + p] = 12 for p, we first simplify the constants and then isolate p to find that p = 8. so answer a) is correct: p = 8.

Step-by-step explanation:

To solve for p in the equation 3 + [1 + p] = 12, we should first simplify the equation by removing the brackets and then isolating the variable p.

1. Remove the brackets: 3 + 1 + p = 12
2. Simplify the constants: 4 + p = 12
3. Subtract 4 from both sides: p = 12 - 4
4. Solve for p: p = 8

Therefore, the solution is p = 8. There is only one solution for p in this linear equation, so answer a) is correct: p = 8.

Equations are mathematical statements that assert the equality of two expressions. They typically contain variables, constants, and mathematical operations like addition, subtraction, multiplication, division, exponents, and more. Equations are solved to find the value(s) of the variables that satisfy the equality.