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Find the value of k for which the given simultaneous equations have infinitely many solutions: kx + 4y = 10; 3x + 2y = 5. - Algebra

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Find the value of k for which the given simultaneous equations have infinitely many solutions:
kx + 4y = 10;
3x + 2y = 5.

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Solution

The given equations are
kx + 4y = 10 ……(i)

and 3x + 2y = 5............(ii)

multiply equation (ii) by 2

`2(3x + 2y )= 2xx5`

`6x+4y=10`..........(iii)

from comparing equation (i) and (iii) 

k=6

 

Concept: Linear Equations in Two Variables Applications
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