For a pair of linear equations-a 1 x - b 1 y - c 1 and a 2 x - b 2 y - c 2If a 1- a 2- b 1- b 2- c 1- c 2- then the pair of equations have solutions-A- zeroB- infiniteC- oneD- two

The correct option is B infiniteinfinite ...

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Representing a Pair of Linear Equations in Two Variables Graphically

For a pair of...

Question

For a pair of linear equations:
$a_{1} x + b_{1} y = c_{1}$ and $a_{2} x + b_{2} y = c_{2}$

If $\frac{a_{1}}{a_{2}}$ = $\frac{b_{1}}{b_{2}}$ = $\frac{c_{1}}{c_{2}}$ , then the pair of equations have ______ solution(s).

infinite

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zero

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one

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two

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Solution

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Similar questions

a_{1} x + b_{1} y = c_{1}

a_{2} x + b_{2} y = c_{2}

\frac{a_{1}}{a_{2}}

\frac{b_{1}}{b_{2}}

\frac{c_{1}}{c_{2}}

Unique point is obtained for the pair of equations $a_{1}$ x + $b_{1}$ y + $c_{1}$ = 0 and $a_{2}$ x + $b_{2}$ y + $c_{2}$ = 0 if __________ .

Parallel lines are obtained for the pair of equations $a_{1} x + b_{1} y + c_{1} = 0$ and $a_{2} x + b_{2} y + c_{2} = 0$ if

The condition for a pair of equations $a_{1} x + b_{1} y + c_{1} = 0$ and $a_{2} x + b_{2} y + c_{2} = 0$ to be parallel is

a_{1} x + b_{1} y + c_{1} = 0

a_{2} x + b_{2} y + c_{2} = 0

\frac{a_{1}}{a_{2}} \neq \frac{b_{1}}{b_{2}}

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