Question

For what value of u the system of Equation :

3x+5y=0
ux+10y=0 has unique solution

please answer fast


I will mark the best answer as the #BRAINLIEST

Answer 1

Solution :

We have equation,

$\tt3x + 5y = 0. \: \: \: \: \: - (1)\\ \tt ux + 10y = 0. \: \: \: \: \: - (2)$

Where as,

For A.

• a1 = 3.
• a2 = u.

For B.

• b1 = 5.
• b2 = 10.

For C.

• c1 = 0.
• c2 = 0.

A/Q,

$\tt \dagger \: \: \: \dfrac{a_1}{a_2} \neq \dfrac{b_1}{b_2}$

For Unique Solution.

$\tt \longmapsto \frac{3}{u} \neq \frac{5}{10}$

$\tt \longmapsto \frac{3}{u} \neq \frac{1}{2}$

$\tt \longmapsto u \neq6.$

$\rule{90}1$

Concepts.

• When we putting the value of 6 in the place of u you got any other type of Solution, Expect unique solution.
• However, When We not putting the value of 6 as place of u 6 your solution should be under unique Solution.

Types of Solution :

• Infinite Many Solution.
• Unique Solution.
• No Solution.