If the equation 5x + ky =3 and kx + 5y = 3 represent the same line the

1.	If the equation 5x + ky =3 and kx + 5y = 3 represent the same line then k=?
Answer» Answer: k = 5 Step-by-step EXPLANATION: we have a1x + b1y + C1 = 0 and a2x + b2y + C2 = 0 so a1 = 5, B1 = k , c1 = -3 a2 = k, b2 = 5, c2 = -3 a1/a2 = b1/b2 or 5/k = k/5 k^2 = 25 or k = 5 b1/b2 = k/5 = 5/5 = 1 c1/c2 = -3/-3 = 1 Now a1/a2 = b1/b2 = c1/c2 = 1 hence k =5

If the equation 5x + ky =3 and kx + 5y = 3 represent the same line then k=?

Answer»

Answer:

k = 5

Step-by-step EXPLANATION:

we have a1x + b1y + C1 = 0 and a2x + b2y + C2 = 0

so a1 = 5, B1 = k , c1 = -3

a2 = k, b2 = 5, c2 = -3

a1/a2 = b1/b2 or 5/k = k/5

k^2 = 25 or k = 5

b1/b2 = k/5 = 5/5 = 1

c1/c2 = -3/-3 = 1

Now a1/a2 = b1/b2 = c1/c2 = 1

hence k =5

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If the equation 5x + ky =3 and kx + 5y = 3 represent the same line then k=?

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