Question

solve this equation A: 2A/3=8+4A

Answer 1

Answer:

2.4

Step-by-step explanation:

2A/3 = 8 + 4A

(3) (2A%2F3%29 = 8+%2B+4A%29) [eliminate the fraction by multiplying completely by "3"]

2A = 24 + 12A [Isolate the "A" term if possible]

2A - 12A = 24

-10A = 24

(-10A%2F-10%29 = 24%2F-10%29)

A=-2.4

Answer 2

Answer:

$\Huge\boxed{\mathsf{A=-\frac{12}{5}=-2.4 }}$

Step-by-step explanation:

$\Large\boxed{\mathsf{SUBJECT: MATH}}$

To solve this problem, first, you have to isolate it on one side of the equation. Isolate a on one side of the equation.

$\displaystyle \mathsf{2*\frac{a}{3}=\frac{2a}{3}  }}$

$\displaystyle \mathsf{\frac{2a}{3}=8+4a}}$

Multiply by 3 from both sides.

$\displaystyle \mathsf{\frac{2a}{3}*3=8*3+4a*3 }}$

Solve.

4a*3=12a

$\displaystyle \mathsf{2a=24+12a}}$

Subtract by 12a from both sides.

$\displaystyle \mathsf{2a-12a=24+12a-12a}}$

Solve.

12a-12a

12+12=24

$\displaystyle \mathsf{-10a=24}$

Then, divide by -10 from both sides.

$\displaystyle \mathsf{\frac{-10a}{-10}=\frac{24}{-10}}}}$

Solve.

Divide the numbers from left to right.

24/-10=-12/5

-12/5=-2.4

$\Rightarrow \Large\boxed{\mathsf{A=-\frac{12}{5}=-2.4 }}$

Therefore, the correct answer is a=-12/5=-2.4.