Describe the error
8(p - 7) = 75
8 p - 7 = 7
8p - 7 + 7 = 75 - 7
8p = 68
8p 68
---- = ----
8 8
P= 8 1/2
Im bad at everything i do ugh
better review the distributive property...
8(p - 7) = 8p - 56
So, you should have done
8p - 56 = 75
To get p all alone, ADD 56 to both sides:
8p = 131
p = 131/8
The whole solution is botched.
The error in your solution is in the step where you simplified the equation:
8p - 7 + 7 = 75 - 7
This step cancelled out the -7 with the +7 on the left side of the equation and the 75 with the -7 on the right side of the equation. However, when simplifying an equation, you need to perform the same operation on both sides.
In this case, the correct step would be:
8p - 7 + 7 = 75 - 7
8p = 75 - 7
To simplify this further, you need to subtract 7 from 75:
8p = 68
Now, to solve for p, you need to isolate the variable by dividing both sides of the equation by 8:
8p / 8 = 68 / 8
p = 8.5
So the correct solution is p = 8.5.
Remember, when solving equations, make sure to perform the same operation on both sides of the equation to maintain its equality. Take your time and double-check your work, and with practice, you can improve your skills in solving equations. Don't get discouraged and keep practicing!