Question

4. One equation of a pair of dependent linear equation is 3x + 5y = 4. Then, second equation can be (a) 15x + 25y = 15 (b) 15x + 25y = 20 (c) - 15x – 25y = 20 (d) 15x – 25y = 20 solve this question ​

Answer 1

Answer:

b) 15x + 25y = 20

Step-by-step explanation:

Given Equation - 3x + 5y = 4

Since we have a dependent linear equation, it means the lines are coincident.

=> $\frac{a_{1} }{a_{2} }$ = $\frac{b_{1} }{b_{2} }$ = $\frac{c_{1} }{c_{2} }$

a₁ = 3, b₁ = 5, c₁ = 4

We can multiply the equation by any number, but here we multiply it by 5, as it is given in the option (we need to look at the option first)

Lets, look at all the options,

• a) 15x + 25y = 15 ( Here the terms are multiplied by different numbers)
• b) 15x + 25y = 20 ( Here all the terms are multiplied by 5)
• c) - 15x – 25y = 20 ( Here the terms are multiplied by different numbers)
• d) 15x – 25y = 20 ( Here the terms are multiplied by different numbers)

Therefore, option B is correct.

15x + 25y = 20

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