So firstly, you want to multiply both sides by (x-2)(x+2) since it is the LCM, or lowest common multiplier. Your equation will look like this: ![\frac{3}{x+2} (x-2)(x+2)-\frac{4}{x-2} (x-2)(x+2)=5(x-2)(x+2)](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7Bx%2B2%7D%20%28x-2%29%28x%2B2%29-%5Cfrac%7B4%7D%7Bx-2%7D%20%28x-2%29%28x%2B2%29%3D5%28x-2%29%28x%2B2%29%20)
Next, you can cancel out the denominators on 3/x+2 and 4/x-2 on the left side: ![3(x-2)-4(x+2)=5(x-2)(x+2)](https://tex.z-dn.net/?f=%203%28x-2%29-4%28x%2B2%29%3D5%28x-2%29%28x%2B2%29%20)
Next, foil: ![3x-6-4x-8=5x^2-20](https://tex.z-dn.net/?f=%203x-6-4x-8%3D5x%5E2-20%20)
Next, combine like terms: ![-x-14=5x^2-20](https://tex.z-dn.net/?f=%20-x-14%3D5x%5E2-20%20)
Next, add x + 14 on both sides: ![0=5x^2+x-6](https://tex.z-dn.net/?f=%200%3D5x%5E2%2Bx-6%20)
Next, replace x with -5x + 6x: ![0=5x^2-5x+6x-6](https://tex.z-dn.net/?f=%200%3D5x%5E2-5x%2B6x-6%20)
Next, factor 5x^2-5x and 6x-6 separately. Make sure that both factors have the same quantity within the parentheses: ![0=5x(x-1)+6(x-1)](https://tex.z-dn.net/?f=%200%3D5x%28x-1%29%2B6%28x-1%29%20)
With this, we can rewrite it as
From here, we solve for x in (5x+6) and (x-1) separately and setting them to zero.
![5x+6=0\\ 5x=-6\\x=-\frac{6}{5} =-1.2](https://tex.z-dn.net/?f=%205x%2B6%3D0%5C%5C%205x%3D-6%5C%5Cx%3D-%5Cfrac%7B6%7D%7B5%7D%20%3D-1.2%20%20)
![x-1=0\\ x=1](https://tex.z-dn.net/?f=%20x-1%3D0%5C%5C%20x%3D1%20)
In short, x = -1.2, 1.
Answer:
No solution
Step-by-step explanation:
4(x-2) = 2(2x+6)
4x-8 = 4x+12 <-- Your answer
-8 = 12
No solution
Y - 12 = -10
The answer is y = 2
Answer:
3x - y =13
Step-by-step explanation:
- y - y1 = m(x - x1)
- y - 2 = m(x - 5)
- distribute
- y - 2 = 3x - 15
- jump -2 across the equal sign and change the sign
- y = 3x - 15 + 2
- combine like terms
- y = 3x - 13
- use this equation to find the standard form
- y = 3x - 13
- jump the x and change the sign
- -3x + y = -13
- x must be positive, so change the sign of everything
- 3x - y = 13
I=p*r*t
This is the equation for how to solve the problem. For the equation, I put I=18,900 p=22,275 t=12. You are trying to get 18,900 because you are trying to get how much you have to pay them as the rate for the loan.
18,900=22,275*r*12 You do 22,275*12=267,300 since you can't multiply the rate yet. Then you do 267,300 divided by 18,900 and get 14% which is your answer.