Math, asked by dheeraj51, 1 year ago

for what value of K the graph of pair of linear equations 2x+5y=k and kx+15y=18 are coincident line

Answers

Answered by charitha9966
13
COINCIDE MEANS INFINITELY MANY SOLUTIONS
SO,, IT HAS MANY SOLUTIONS
2/K=5/15=K/18
18×2 =K×K
36=K×K
K=6
PLZ MARK AS BRAINLIEST

Answered by DelcieRiveria
5

Answer:

The value of k is 6.

Step-by-step explanation:

The given equations are

2x+5y=k

kx+15y=18

If two lines coincident lines, then

\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}

\frac{2}{k}=\frac{5}{15}=\frac{k}{18}

\frac{2}{k}=\frac{1}{3}=\frac{k}{18}

\frac{2}{k}=\frac{1}{3}

6=k

\frac{1}{3}=\frac{k}{18}

18=3k

k=6

Therefore the  value of k is 6.

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