Question

SOLVE FOR X2 PLEASE HELP

Answer 1

C

Explanation:

m=x1+x2/2

You can split the fraction into two fractions

m=x1/2 +x2/2

subtract x2/2 from both sides

m-x2/2=x1/2

subtract m from both sides

-x2/2=x1/2-m

multiply both sides by 2

-x2=x1-2m

multiply by (-1)

x2=-x1+2m

flip the sign to the answer, C

x2=2m-x1

Answer 2

`\textsf{D.} \quad x_2=2m-x_1`

Explanation:

Given equation:

`m=(x_1+x_2)/(2)`

To solve for x₂, we must manipulate the equation through various operations to isolate x₂.

Multiply both sides of the equation by 2 to eliminate the fraction on the right side:

`m\cdot 2=(x_1+x_2)/(2)\cdot 2`

`2m=x_1+x_2`

Now, subtract x₁ from both sides of the equation to isolate x₂:

`2m-x_1=x_1+x_2-x_1`

`2m-x_1 = x_2`

Therefore, the solution is:

`\large\boxed{\boxed{x_2=2m-x_1}}`