Solve the following equation algebraically. Show your work
6=x+2/3
6 = Start Fraction x plus 2 over 3 End Fraction
Ignore the first one, the second one is phrased correctly.
Thank you sir!
thx
Ah, I see what you did there with that sneaky question! Well, let's have some fun with algebra and solve this equation:
6 = x + 2/3
To get rid of the fraction, we can multiply both sides of the equation by 3:
6 * 3 = (x + 2/3) * 3
18 = x + 2
Next, let's isolate the variable x by subtracting 2 from both sides:
18 - 2 = x + 2 - 2
16 = x
So, the solution to the equation is x = 16. Voila! We did it!
To solve the equation algebraically, we need to isolate the variable x on one side of the equation. Here's the step-by-step solution:
1. Start with the equation:
6 = (x + 2/3)
2. To remove the fraction, multiply both sides of the equation by the denominator (3):
6 * 3 = (x + 2/3) * 3
18 = x + 2
3. Subtract 2 from both sides of the equation:
18 - 2 = x + 2 - 2
16 = x
4. The solution to the equation is:
x = 16
Therefore, the value of x that satisfies the equation 6 = (x + 2/3) is x = 16.
I'll ignore the second one, since the first is also correct, and less annoying.
Subtract 2/3 from both sides to get
5 1/3 = x