110,788 views
32 votes
32 votes
Given 2n = m + h h = n + m prove n = 2m

User Kez
by
3.0k points

1 Answer

26 votes
26 votes

Answer:

See steps below for proving n = 2m:

Explanation:

An equation is formed of two equal expressions. n=2m can be proved by solving the two of the given equation for h and then equating them together as shown below.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign ''=''.

Given the two equations, 2n=m+h, and h=n+m. Now, solve the two of the equations for h as shown below:

Equation 1.

2n = m + h

2n - m = h

h = 2n - m

Equation 2.

h = n + m

Further, equate the value of h from both the equation,

h = h

2n - m = n + m

Bring the like terms on the same side of the equation,

2n - n = m + m

n = 2m

Hence, proved n=2m.

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

User Yomara
by
3.1k points