Which of the following condition is true if the system of equations below is shown to be consistent?
$a_{1} x + b_{1} y + c_{1} = 0, a_{2} x + b_{2} y + c_{2} = 0$

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

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\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} = \frac{c_{1}}{c_{2}}

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

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

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Solution

The correct option is D $\frac{a_{1}}{a_{2}} \neq \frac{b_{1}}{b_{2}} = \frac{c_{1}}{c_{2}}$
If $\frac{a_{1}}{a_{2}} \neq \frac{b_{1}}{b_{2}} = \frac{c_{1}}{c_{2}}$ , then the pair of linear equations has exactly one solution. It said to be consistent.

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Which of the following condition is true if the system of equations below is shown to be consistent?a1x+b1y+c1=0,a2x+b2y+c2=0

The correct option is D a1a2≠b1b2=c1c2If a1a2≠b1b2=c1c2, then the pair of linear equations has exactly one solution. It said to be consistent.

Which of the following condition is true if the system of equations below is shown to be consistent?
$a_{1} x + b_{1} y + c_{1} = 0, a_{2} x + b_{2} y + c_{2} = 0$

The correct option is D $\frac{a_{1}}{a_{2}} \neq \frac{b_{1}}{b_{2}} = \frac{c_{1}}{c_{2}}$
If $\frac{a_{1}}{a_{2}} \neq \frac{b_{1}}{b_{2}} = \frac{c_{1}}{c_{2}}$ , then the pair of linear equations has exactly one solution. It said to be consistent.