The "arithmetic mean" is the 'average'. The average of 2 numbers is 1/2 of their sum.
The numbers are (x-8) and (2x+1). We're told that half of their sum is 'x'.
1/2 [ (x-8) + (2x+1) ] = x
Fine! We are not intimidated.
Multiply each side by 2 ==> (x-8) + (2x+1) = 2x
Eliminate parentheses ==> x-8 + 2x+1 = 2x
Group the like-terms on the left side ==> x + 2x - 8 + 1 = 2x
Combine like-terms ==> 3x -7 = 2x
Add 7 to each side ==> 3x = 2x + 7
Subtract 2x from each side ==> x = 7
1/2 (3x + 1 + x - 3) = 1/2 (4x - 2) = 2x - 1
As you've written it, it can't be solved. I'll assume you mean -2x plus 8=2. -2x=-6. x=3.
I assume you mean factors for 4x2+10x+6.(2x+3)(2x+2).
If you mean -2x+y = 8 then y = 2x+8 as a straight line equation
8x-4
2x + 3y - x + 5y combine the like terms 2x - x + 3y +5y simple arithmetic x + 8y
1/2 (3x + 1 + x - 3) = 1/2 (4x - 2) = 2x - 1
The slope of the line of 2x plus 2y equals 7 is (7/2x - 1).
The value of y in the equation -2x plus 4y -4, is 1 plus x/2.
As you've written it, it can't be solved. I'll assume you mean -2x plus 8=2. -2x=-6. x=3.
I assume you mean factors for 4x2+10x+6.(2x+3)(2x+2).
If you mean -2x+y = 8 then y = 2x+8 as a straight line equation
8x-4
3x2 + 2x + 3 + x2 + x + 1 = 4x 2+ 3x + 4
-2
If you mean: 2x-3 = 3x+3 then x = -6
If you mean 2x = 28 then the value of x is 14