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3 years ago

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

Mathematics

1 answer:

saw5 [17]3 years ago

3 0

Answer:

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

<u>So, from given linear equation</u>

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

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