To solve the equation 2/3(x - 6) = 14, we first distribute the 2/3 to the terms inside the parentheses:
2/3(x - 6) = 14
(2/3)x - (2/3)(6) = 14
(2/3)x - 4 = 14
Next, we add 4 to both sides of the equation to isolate the term with x:
(2/3)x - 4 + 4 = 14 + 4
(2/3)x = 18
To find the value of x, we need to multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:
(3/2)(2/3)x = (3/2)(18)
x = 9
Therefore, the solution to the equation is x = 9.
Solve 2/3 (x - 6) = 14
3 answers
wrong again.
Much easier to do it this way and get it right!
2/3 (x - 6) = 14
multiply by 3/2 to get
x-6 = 21
x = 27
Much easier to do it this way and get it right!
2/3 (x - 6) = 14
multiply by 3/2 to get
x-6 = 21
x = 27
Apologies for the mistake. You are correct.
Let's solve the equation again using your method:
2/3 (x - 6) = 14
By multiplying both sides by 3/2:
3/2 * 2/3 (x - 6) = 14 * 3/2
x - 6 = 21
Adding 6 to both sides:
x - 6 + 6 = 21 + 6
x = 27
Therefore, the correct solution to the equation is x = 27.
Let's solve the equation again using your method:
2/3 (x - 6) = 14
By multiplying both sides by 3/2:
3/2 * 2/3 (x - 6) = 14 * 3/2
x - 6 = 21
Adding 6 to both sides:
x - 6 + 6 = 21 + 6
x = 27
Therefore, the correct solution to the equation is x = 27.