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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 infinitely many solutions :

2x + 3y − 5 = 0
6x + ky − 15 = 0

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Solution

GIVEN:

To find: To determine for what value of k the system of equation has infinitely many solutions

We know that the system of equations

For infinitely many solution

Here,

Hence for the system of equation have infinitely many solutions

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2 x + 3 y - 5 = 0

6 x + k y - 15 = 0

k

for which following system of equations have infinitely many solutions is ___

Q. Find the value of k for which following system of equations have infinitely many solutions

2 x + 3 y - 5 = 0

6 x + k y - 15 = 0

Q. Find the value of

k

for which each of the following systems of equations have infinitely many solution:

2 x + 3 y = k

(k - 1) x + (k + 2) y = 3 k

Q. 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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Comparing the Ratios of Coefficients of a Linear Equation

Standard X Mathematics

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