The pair of linear equations 2 x -5 y -11 and 5 x -15 y -44 haveA- Many solutionsB- No solutionsC- One solutionsD- Two solutions

The correct option is C One solutions Here , 2/5≠5/15 ⇒a_1/a_2≠b_1/b_2 which is the condition for the unique solution So, the system of equations have one ...

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Standard IX

Mathematics

Comparing the Ratios of Coefficients of LE

The pair of l...

Question

The pair of linear equations $2 x + 5 y = - 11 a n d 5 x + 15 y = - 44$ have

Many solutions

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No solutions

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One solutions

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Two solutions

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Solution

The correct option is C One solutions
Here , $\frac{2}{5} \neq \frac{5}{15}$

$\Rightarrow \frac{a_{1}}{a_{2}} \neq \frac{b_{1}}{b_{2}}$ which is the condition for the unique solution

So, the system of equations have one solution.

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The pair of linear equations 2x+5y=−11 and 5x+15y=−44 have

The correct option is C One solutions Here , 25≠515 ⇒a1a2≠b1b2 which is the condition for the unique solution So, the system of equations have one solution.

The pair of linear equations $2 x + 5 y = - 11 a n d 5 x + 15 y = - 44$ have

The correct option is C One solutions
Here , $\frac{2}{5} \neq \frac{5}{15}$

$\Rightarrow \frac{a_{1}}{a_{2}} \neq \frac{b_{1}}{b_{2}}$ which is the condition for the unique solution

So, the system of equations have one solution.