For the equation 2 (4x+10) = 8x+k, which value of K will create an equation with infinitely many solutions?

A. 4

B. 8

C. 20

D. 24

Also how would you solve this problem

For given linear equation having infinite many solution the value of k is 20.

Step-by-step explanation:

Given as:

The equation is 2 (4 x + 10) = 8 x + k

For infinite many solution, if the variable cancel out to zero then it will have infinite many solutions

So, from given linear equation

i. e 2 (4 x + 10) = 8 x + k

Or, 2 * 4 x + 2 * 10 = 8 x + k

Or, 8 x + 2 * 10 = 8 x + k

Or, 8 x + 20 = 8 x + k

Or, k + (8 x - 8 x) = 20

Or, k + 0 = 20

∴ k = 20

So, The vale of k = 20

Hence, For given linear equation having infinite many solution the value of k is 20. Answer