So- im trying to help my little brother out with his Algebra- but its been awhile since i have had algebra class- we need help with the following question:
Solve the following equation for x:
2(x+4)=4x+12
2x+8=4x+12
2x=-4
x=-2
I think, lol
I'll buy that.
okay- i got that too- thanks!
1/2n - 1/8> 3/4 + 5/6n
2x+8=4x+12
2x-8=4x-08
2x=4x+4
-4x
-2x=4
-----
-2
x=-2
To solve the inequality 1/2n - 1/8 > 3/4 + 5/6n, we can follow these steps:
Step 1: Simplify both sides of the equation as much as possible.
- Start by rearranging the terms to group the variables on one side: 1/2n - 5/6n > 3/4 + 1/8.
- Find a common denominator for the fractions on both sides. In this case, the common denominator is 24.
- Convert each fraction to have the common denominator: 12/24n - 20/24n > 18/24 + 3/24.
- Combine like terms: -8/24n > 21/24.
- Simplify the right side: -1/3n > 7/8.
Step 2: Isolate the variable n.
- In order to get n by itself, multiply each side of the inequality by -1/3. Note that when multiplying or dividing an inequality by a negative number, the inequality sign flips.
- Multiply -1/3n > 7/8 by -1/3: (-1/3)(-1/3n) < (-1/3)(7/8).
- Simplify both sides: 1/9n < -7/24.
Step 3: Solve for n.
- Multiply both sides by 9 to eliminate the fraction: (1/9n)(9) < (-7/24)(9).
- Simplify both sides: n < -63/24.
So the solution to the inequality is n < -63/24.