4s-(3-2s)-6=9
Please check my work:
4s-3+2s-6=9
6s-9=9
3s=18
s=3
Your answer is right, but you have an error in this line:
3s = 18
I think you mean 6s = 18
Yes that's what I meant.
Thank you
You are welcome.
To check your work, we can simply substitute the value of s back into the original equation and see if it holds true.
The original equation is:
4s - (3 - 2s) - 6 = 9
Substituting s = 3, we get:
4(3) - (3 - 2(3)) - 6 = 9
Simplifying within the parentheses, we have:
12 - (3 - 6) - 6 = 9
Further simplifying the expression, we have:
12 - (-3) - 6 - 6 = 9
Applying the rule of signs, we get:
12 + 3 - 6 - 6 = 9
Simplifying the expression further:
15 - 12 = 9
Finally, evaluating the expression:
3 = 9
Since 3 is not equal to 9, we can conclude that there might be an error in your calculations. To find your mistake, let's go through the steps again.
The original equation is:
4s - (3 - 2s) - 6 = 9
Expanding the expression within the parentheses:
4s - 3 + 2s - 6 - 6 = 9
Combining similar terms:
6s - 15 = 9
Adding 15 to both sides of the equation:
6s = 9 + 15
Simplifying:
6s = 24
Dividing both sides by 6:
s = 24 / 6
Simplifying the expression:
s = 4
Therefore, the correct solution is s = 4, not s = 3.