how to solve x=a+b(over2). Solve for b, the mean of two numbers?

Question

This totally confuses me, any help would be appreciated.

Answer 1

The ec. is like a balance:

Ok if : x = (a + b)/2

2x = [(a + b)/2] * 2

2x = a + b

2x - a = a + b - a

2x - a = b

b = 2x - a
____________________________

Or if you mean: x = a + [b/2]

x - a = a + [b/2] - a

x - a = [b/2]

b / 2 = x - a

(b/2) (2) = (x - a) (2)

b = 2 (x - a)

b = 2x - 2a

Answer 2

characterize the two numbers as x and y. in accordance to the subject: x + y = 50 and 3x = 2y + 5 Rewrite x + y = 50 to sparkling up for y: y = 50 - x Now exchange "50 - x" particularly than y in "3x = 2y +5": 3x = 2y + 5 3x = 2(50 - x) + 5 Simplify and sparkling up for x: 3x = one hundred - 2x + 5 3x = one hundred and five - 2x 5x = one hundred and five x = 21 Now exchange "x = 21" into "x + y = 50" x + y = 50 21 + y = 50 y = 50 - 21 y = 29 the answer is x = 21, y = 29

Answer 3

x = (a + b)/2

==> 2x = a + b
==> 2x - a = b

-or-

b = 2x - a

Doesn't really matter how the equation is oriented (which side "b" is on), but it's usually an accepted practice to write it as it shows with "b" on the left.

See how the parentheses are used? Hope this helps you.

Answer 4

"Solve for b" means "get +1b all by itself on one side of the equation."
x=(a+b)/2
2x =a+b
2x -a =b
That's it:we are done

If your problem was
x=a+b/2,
x-a =b/2
2(x-a) =b

Answer 5

x = (a + b) / 2
2x = a + b
b = 2x - a