Another problem with my checking. The teacher says the answer is 280 but when I try to check it I never get the right one

(24-d)/16=19

(24-d)/16=19

Multiply both sides by 16.

24-d = 304

-d = 304 - 24

d = -280

Answer: 280

work:
You multiply 16 by 16 and 19 by 16 then your left with 24-d=304 then you subtract 24 to the both sides, so when you subtract 24 from 304 yo get 280 and then b=280

So is it 280 or -280?

To check whether the answer is correct, you need to substitute the value you believe is the solution back into the original equation and see if both sides of the equation are equal.

Let's use the suggested answer of 280 for this problem and see if it satisfies the equation:

(24 - 280) / 16 = 19

Now, let's simplify the equation:

(-256) / 16 = 19

Simplifying further:

-16 = 19

Since -16 is not equal to 19, this means that the suggested answer of 280 is incorrect.

To find the correct solution, we need to solve the original equation:

(24 - d) / 16 = 19

To isolate the variable "d," we can follow these steps:

1. Multiply both sides of the equation by 16 to get rid of the denominator:

16 * (24 - d) / 16 = 19 * 16

This simplifies to:

24 - d = 304

2. Now, isolate the variable "d" by subtracting 24 from both sides of the equation:

24 - d - 24 = 304 - 24

Simplifying further:

-d = 280

3. Multiply both sides of the equation by -1 to eliminate the negative sign in front of "d":

-d * (-1) = 280 * (-1)

This simplifies to:

d = -280

The correct solution to the equation (24 - d) / 16 = 19 is d = -280.

Now we can check this solution by substituting it back into the original equation:

(24 - (-280)) / 16 = 19

Simplifying:

(24 + 280) / 16 = 19

304 / 16 = 19

19 = 19

Since both sides of the equation are equal, we can confirm that the correct solution is indeed d = -280.