Question

pair of linear equations
$10x + 5y - (k - 5) = 0 \\ 20x + 10y - k$
find k for infinite solution ​

Answer 1

Answer:

k=10

Step-by-step explanation:

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For infinite solutions:-

a1/a2 = b1/b2 = c1/c2

here,

a1 = 10 , a2 = 20 => a1/a2 = 1/2 .....(i)

b1 = 5  , b2 = 10 => b1/b2 = 1/2  ....(ii)

c1 = -(k-5), c2 = -k => c1/c2 = k-5/k ....(iii)

Now , for finding k we have to equate (iii) with either i or ii,

k-5/k =1/2

2k-10 =k

k= 10