Solve for x. Express the answer in simplest form.
1/7 = 3 over 4x - 1
1/7 is a fraction
1/7 = 3/(4x-1)
1 = 21/(4x-1)
4x-1 = 21
4x = 22
x = 11/2
tell me if you got it right.
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4.8.6 - Quiz: Division of Rational Numbers Quiz Part 1
7th grade
To solve for x in the equation 1/7 = 3/(4x - 1), we can start by getting rid of the fraction on the right side of the equation.
To do this, we can cross-multiply. This means multiplying the numerator of the first fraction (1) by the denominator of the second fraction (4x - 1), and multiplying the denominator of the first fraction (7) by the numerator of the second fraction (3).
So, the equation becomes:
1 * (4x - 1) = 7 * 3
Simplifying both sides of the equation:
4x - 1 = 21
Now, let's isolate the variable x by moving the constant term (-1) to the other side of the equation:
4x - 1 + 1 = 21 + 1
4x = 22
To solve for x, we divide both sides of the equation by 4:
4x/4 = 22/4
x = 22/4
To express the answer in simplest form, we can simplify the fraction 22/4 by dividing both the numerator and denominator by their greatest common divisor, which is 2:
x = (22 ÷ 2) / (4 ÷ 2)
x = 11/2
Therefore, the solution to the equation is x = 11/2.