Question

Please explain 12 and13and please please please hurry!

Answer 1

12. a = 2

13.
`x = (4)/(3)`

Explanation:

12.

6a(a + 3) = 2a(3a + 5) + 16

First, distribute 6a on the left side, and distribute 2a on the right side.

6a² + 18a = 6a² + 10a + 16

Subtract 6a² from both sides.

18a = 10a + 16

Subtract 10a from both sides.

8a = 16

Divide both sides by 8.

a = 2

13.

`(1)/(3)x + (1)/(2)x = (1)/(3)(x + 2)`

The LCD of 2 and 3 is 6. We multiply both sides of the equation by 6 to get rid of all denominators.

`6 * (1)/(3)x + 6 * (1)/(2)x = 6 * (1)/(3)(x + 2)`

`(6)/(3)x + (6)/(2)x = (6)/(3)(x + 2)`

`2x + 3x = 2(x + 2)`

Combine like terms on the left side. Distribute the 2 on the right side.

`5x = 2x + 4`

Subtract 2x from both sides.

`3x = 4`

Divide both sides by 3.

`x = (4)/(3)`