Question

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

Answer 1

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

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