Question

How to solve 1/3(12-9y) step by step

How to solve 1/4(-16x+8) step by step both are separate questions

Answer 1

The expressions 1/3(12-9y) and 1/4(-16x+8) are simplified by distributing the fractions over each term inside the parentheses, resulting in the simplified forms 4 - 3y and -4x + 2, respectively.

Step-by-step explanation:

To solve the two separate algebraic expressions given, we'll perform operations step by step.

Solution for 1/3(12-9y):

1. 
   
3. First, distribute 1/3 to both terms inside the parenthesis: 1/3 * 12 - 1/3 * 9y.
4. 
   
6. Perform the multiplication: 4 - 3y.
7. 
   
9. The simplified expression is 4 - 3y.

Solution for 1/4(-16x+8):

1. 
   
3. Distribute 1/4 to both terms inside the parenthesis: 1/4 * -16x + 1/4 * 8.
4. 
   
6. Perform the multiplication: -4x + 2.
7. 
   
9. The simplified expression is -4x + 2.

Note that these are not equations with equals signs, so we cannot 'solve for y or x' in the traditional sense; we merely simplified the expressions.

Answer 2

4-3y and 2−4x

Step-by-step explanation:

Use the distributive property to multiply 1/3 by 12−9y.

1/3⋅12+1/3 (−9)y

Multiply 1/3 and 12 to get 12/3.

12/3+1/3 (−9)y

Divide 12 by 3 to get 4.

4+1/3 (−9)y

Multiply 1/3 and −9 to get (−9)/3.

4+(−9)/3 y

Divide −9 by 3 to get −3.

4−3y

Use the distributive property to multiply 1/4 by −16x+8.

1/4 (−16)x+1/4⋅8

Multiply 1/4 and −16 to get (−16)/4.

(−16)/4 x+1/4⋅8

Divide −16 by 4 to get −4.

−4x+1/4⋅8

Multiply 1/4 and 8 to get 8/4.

−4x+8/4

Divide 8 by 4 to get 2.

−4x+2