sarahilc said:Yes, your result d = 1.5 is incorrect because you did not properly divide 4.25 by 3.
:idea: You could have determined for yourself that 1.5 is not a solution for d, by checking that value in the original equation (always a good idea).
I mean, let d = 1.5, and evaluate each side of the original equation, to see if you get a true statement.
3(1.5) - 11/4 = 3/2
This simplifies to 1.75 = 1.5, which is clearly false, so d = 1.5 is not correct.
(The correct solution for d will cause the original equation to evaluate to 1.5 = 1.5, when you check.)
Your work looks okay, until the end, where you made an arithmetic mistake.
Denis showed you an easier way (i.e., less steps); however, since you typed out your work, I'll comment on it, instead.
3d-2.75=1.5
-2.75+3d=1.5 This step is okay. (With more practice, you won't need it.)
-2.75+2.75+3d=1.5+2.75
3d=1.5+2.75
3d=4.25
4.25/3=1.5? Why did you insert this line, and what happened to symbol d?
Are you actually trying to ask us whether or not 4.25/3 equals 1.5?
You could easily answer that question yourself by using a calculator, yes?
Let's go back the the last correct line:
3d = 4.25
The next step is to divide both sides by 3 (you did not show this step)
3d/3 = 4.25/3
Simplify the lefthand side (the 3s cancel)
d = 4.25/3
Use a calculator to simplify this expression for d, if your teacher expects you to report a decimal approximation for d versus the exact value.
(If your teacher expects the exact solution, then you'll need to learn how to do arithmetic with fractions.)
And I have one more that I don't know how to start if you don't mind...
We don't mind how many questions you post, but please start a new thread for each new exercise.![]()