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Comparing the Ratios of Coefficients of a Linear Equation

Find the valu...

Question

Find the value of k for which each of the following system of equations have no solution :

cx + 2y = 3
12x + cy = 6

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Solution

GIVEN:

To find: To determine for what value of c the system of equation has no solution

We know that the system of equations

For no solution

Here,

Hence for the system of equation has no solution.

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Q. Find the value of k for which the following system of linear equations has no solutions:

k x + 3 y = k - 3 12 x + k y = k

Q. (i) Prove that there is a value of c(≠ 0) for which the system
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12x + cy = c has infinitely many solutions. Find this value.

(ii) Find c if the system of equations cx + 3y + 3 – c = 0, 12x + cy – c = 0 has infinitely many solutions?

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4 x - 3 y + 9 = 0

Q. Find the value of k for which each of the following system of equations has no solution:

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Comparing the Ratios of Coefficients of a Linear Equation

Standard X Mathematics

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