Can you help me with this problem?
5(6-4v)=v+21
I got v= 0.42 but I'm not sure if it's right.
5(6-4v)=v+21
30 - 20v = v + 21
30 - 21 = v + 20v
9 = 21v
0.428571429 = v
0.43 = v
Thanks Ms. Sue!
You're welcome, Miami.
Sure, I can help you with this problem! Let's go through the steps to solve it and check if your solution is correct.
The equation you provided is:
5(6 - 4v) = v + 21
To solve this equation, we can start by distributing the 5 to the terms inside the parentheses on the left side:
30 - 20v = v + 21
Next, let's combine like terms by moving all the v terms to one side of the equation and the constant terms to the other side:
30 = v + 21 + 20v
Combine the v terms:
30 = 21 + 21v
Simplify further:
30 = 21v + 21
Now, let's isolate the variable by subtracting 21 from both sides:
30 - 21 = 21v + 21 - 21
9 = 21v
Finally, to find the value of v, divide both sides of the equation by 21:
v = 9/21
v = 0.4286 (rounded to four decimal places)
Based on these calculations, it appears that your earlier solution of v = 0.42 was close. However, the more accurate solution is v = 0.4286 when rounded to four decimal places.
I hope this helps clarify the solution for you! Let me know if you have any further questions.