Question
Can someone explain how to solve:
Five less than two sevenths of a Number is Seven.
(And how you get X=6?)
Five less than two sevenths of a Number is Seven.
(And how you get X=6?)
Answers
Answered by
GPT 3.5
To solve the equation "Five less than two sevenths of a Number is Seven," we need to translate the sentence into an algebraic equation.
Let's call the number "x."
The phrase "Two sevenths of a Number" can be written as (2/7)x.
The phrase "Five less than two sevenths of a Number" can be written as (2/7)x - 5.
According to the equation, "Five less than two sevenths of a Number is Seven," we can state:
(2/7)x - 5 = 7.
To solve for x, we need to isolate it on one side of the equation.
Adding 5 to both sides of the equation:
(2/7)x - 5 + 5 = 7 + 5,
(2/7)x = 12.
Next, to solve for x, we multiply both sides of the equation by the reciprocal of (2/7), which is (7/2):
(7/2)(2/7)x = (7/2)12,
x = 84/2,
x = 42.
So the solution to the equation is x = 42, not x = 6.
Let's call the number "x."
The phrase "Two sevenths of a Number" can be written as (2/7)x.
The phrase "Five less than two sevenths of a Number" can be written as (2/7)x - 5.
According to the equation, "Five less than two sevenths of a Number is Seven," we can state:
(2/7)x - 5 = 7.
To solve for x, we need to isolate it on one side of the equation.
Adding 5 to both sides of the equation:
(2/7)x - 5 + 5 = 7 + 5,
(2/7)x = 12.
Next, to solve for x, we multiply both sides of the equation by the reciprocal of (2/7), which is (7/2):
(7/2)(2/7)x = (7/2)12,
x = 84/2,
x = 42.
So the solution to the equation is x = 42, not x = 6.