Solve. -8x-25= -27 and 2/3.
My answer is x= -1/3.
Is this correct?
Thanks.
-8x=-2 2/3 and then divide each side by -8. You could also multiply both sides by -1/8, the reciprocal, if that is easier for you. -8/3 multiplied by -1/8 = positive not negative 1/3. Your final answer was correct, but the sign was incorrect.
Thanks.
To verify if the solution is correct, we can substitute the value of x into the original equation and see if both sides are equal.
Let's substitute x = -1/3 into the equation -8x - 25 = -27 and 2/3:
-8 * (-1/3) - 25 = -27 and 2/3
When we simplify this:
8/3 - 25 = -27 and 2/3
To add fractions, we need a common denominator, which in this case is 3:
8/3 - 75/3 = -27 and 2/3
When we subtract the fractions:
-67/3 = -27 and 2/3
We can see that both sides of the equation are not equal. So, the solution x = -1/3 is not correct.
To solve the equation -8x - 25 = -27 and 2/3:
1. Move the constant term -25 to the right side by adding 25 to both sides of the equation:
-8x = -27 and 2/3 + 25
2. Simplify the right side:
-8x = -27 and 2/3 + 75/3
-8x = 48 and 2/3
3. Convert the mixed number on the right side to an improper fraction:
-8x = 146/3
4. Divide both sides of the equation by -8 to isolate x:
x = (146/3) / -8
5. Simplify the right side:
x = -73/12
Therefore, the correct solution is x = -73/12.