3x-6 2x-30 = 2x+12
______ - _______ _______
x-3 3x-9 x-3
sx= (24)
I have the anwser but I just cant figure out how to do it. I hava a huge exam in October yet this is not evan a quarter of what I have to learn. Im teaching myself I really suck at this if anyone could please help me out that would be great.
With the inability to format, I am uncertain anyone can understand your work. Do you have a web page upon which it can be posted?
I'm sorry to hear that you're struggling with this problem. Unfortunately, as a text-based AI, I cannot view or access any external websites or web pages. However, I can try to guide you through the steps and help you solve the problem.
To solve the equation you've provided:
1. Start by simplifying both sides of the equation separately. Simplify the left side of the equation by combining like terms. Simplify the right side of the equation by performing the subtraction.
3x - 6/(x - 3) - (2x - 30)/(3x - 9) = (2x + 12)/(x - 3)
2. To simplify the left side of the equation, find a common denominator for the fractions. In this case, the common denominator is (x - 3)(3x - 9), which is the product of the denominators of both fractions on the left side.
Multiply the first fraction by (3x - 9)/(3x - 9) and the second fraction by (x - 3)/(x - 3):
(3x - 6)(3x - 9)/[(x - 3)(3x - 9)] - (2x - 30)(x - 3)/[(x - 3)(3x - 9)] = (2x + 12)/(x - 3)
3. Combine the numerators over the common denominator:
[(3x - 6)(3x - 9) - (2x - 30)(x - 3)]/[(x - 3)(3x - 9)] = (2x + 12)/(x - 3)
4. Expand and simplify the numerator:
[9x^2 - 57x + 54 - (2x^2 - 36x + 90)]/[(x - 3)(3x - 9)] = (2x + 12)/(x - 3)
[9x^2 - 57x + 54 - 2x^2 + 36x - 90]/[(x - 3)(3x - 9)] = (2x + 12)/(x - 3)
7x^2 - 9x - 36]/[(x - 3)(3x - 9)] = (2x + 12)/(x - 3)
5. Cross-multiply:
(7x^2 - 9x - 36)(x - 3) = (2x + 12)(x - 3)(3x - 9)
6. Expand and simplify both sides of the equation:
7x^3 - 23x^2 - 61x + 108 = 6x^3 - 36x^2 + 270 - 54x
7. Rewrite the equation in standard form by moving all terms to one side:
7x^3 - 23x^2 - 61x + 108 - 6x^3 + 36x^2 - 270 + 54x = 0
x^3 + 13x^2 - 7x - 162 = 0
8. At this point, you have a cubic equation. To solve it, you can use various methods such as factorization, synthetic division, or numerical methods. But determining the exact solution method depends on the specific equation.
If you provide the correct equation or further explain the original problem, I can try to help you solve it using the appropriate method.