Question

Please helppp

Please explain and show steps on questions below.


1. 1/4p + 3/4 (p-8) =11 + 1/4 (12p+4)


2. 5 + 1/3 (9y - 12) + 5/6 (y+ 18) + 1/6y

Answer 1

1. p = -9

2. 4y + 16.

Explanation:

1.

First, let's simplify the right-hand side of the equation:

11 + 1/4 (12p+4) = 11 + 3p + 1

= 3p + 12

Next, let's simplify the left-hand side of the equation:

1/4p + 3/4 (p-8) = 1/4p + 3/4p - 6

= 1p - 6

Now we can set the left-hand side equal to the right-hand side:

3p + 12 = 1p - 6

Subtract 1p from both sides:

2p + 12 = -6

Subtract 12 from both sides:

2p = -18

Divide by 2:

p = -9

Therefore, the solution to the equation is p = -9.

2.

First, let's simplify the terms inside each of the parentheses:

5 + 1/3 (9y - 12) = 5 + 3y - 4

= 3y + 1

5/6 (y+ 18) = 5/6y + 15

Now we can combine the simplified terms:

3y + 1 + 5/6y + 15 + 1/6y

= 4y + 16

Therefore, the solution to the equation is 4y + 16.