Question

Solve the equations: 1. 3p−1−(p+3)=1 2. (13x−15)−(9+6x)=−3x

Answer 1

To solve the equations, use the distributive property to simplify and then solve for the variable.

Step-by-step explanation:

To solve these equations, we can use the distributive property to simplify and then solve for the variable.

1. For the first equation, 3p -1 - (p + 3) = 1, we start by removing the parentheses. This gives us 3p -1 - p - 3 = 1. Combining like terms, we get 2p - 4 = 1. Adding 4 to both sides, we have 2p = 5. Dividing by 2, we find that p = 2.5.
2. For the second equation, (13x - 15) - (9 + 6x) = -3x, we can again remove the parentheses. This simplifies the equation to 13x - 15 - 9 - 6x = -3x. Combining like terms, we have 7x - 24 = -3x. Adding 3x to both sides, we get 10x - 24 = 0. Adding 24 to both sides, the equation becomes 10x = 24. Dividing by 10, we find that x = 2.4.