solve: 2 / x - 1 - 3/4 = 5 / x - 1
a) -3
b) 3
c) 2
d) -2
Do it the same way I just showed you in the previous post,
In this case multiply by 4(x-1)
let me know what you get.
When I multiply, Sean, I get
8-3(x-1)=20
That does not lead to x=2
To solve the given equation:
2 / (x - 1) - 3/4 = 5 / (x - 1), we need to follow these steps:
1. Get rid of the denominators by multiplying both sides of the equation by the common denominator. In this case, the common denominator is 4 * (x - 1).
(4 * (x - 1)) * (2 / (x - 1)) - (4 * (x - 1)) * (3/4) = (4 * (x - 1)) * (5 / (x - 1))
Simplifying,
2 * 4 - 3 * (x - 1) = 5 * 4
8 - 3x + 3 = 20
2. Combine like terms on both sides of the equation.
-3x + 11 = 20
3. Subtract 11 from both sides to isolate the term with x.
-3x = 20 - 11
-3x = 9
4. Divide both sides by -3 to solve for x.
x = 9 / -3
x = -3
Therefore, the solution to the equation is x = -3.
The correct answer choice is (a) -3.