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Comparing the Ratios of Coefficients of a Linear Equation

Write the val...

Question

Write the value of k for which the system of equations has infinitely many solutions.

$2 x - y = 5 6 x + k y = 15$

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Solution

The given systems of equations are

For the equations to have infinite number of solutions,

By cross Multiplication we get,

Hence the value of k is when equations has infinitely many solutions.

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Comparing the Ratios of Coefficients of a Linear Equation

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