For which values of p does the pair of equati | vedclass

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(B) The given equations are $4x + py + 8 = 0$ and $2x + 2y + 2 = 0$.Comparing these with the standard form $a_{1}x + b_{1}y + c_{1} = 0$ and $a_{2}x +

Vedclass · Accepted Answer

$p 
eq 4$

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(B) The given equations are $4x + py + 8 = 0$ and $2x + 2y + 2 = 0$.Comparing these with the standard form $a_{1}x + b_{1}y + c_{1} = 0$ and $a_{2}x + b_{2}y + c_{2} = 0$,we get:$a_{1} = 4, b_{1} = p, c_{1} = 8$$a_{2} = 2, b_{2} = 2, c_{2} = 2$For a pair of linear equations to have a unique solution,the condition is $\frac{a_{1}}{a_{2}} 
eq \frac{b_{1}}{b_{2}}$.Substituting the values,we get $\frac{4}{2} 
eq \frac{p}{2}$.This simplifies to $2 
eq \frac{p}{2}$.Multiplying both sides by $2$,we get $p 
eq 4$.Thus,for all real values of $p$ except $4$,the pair of equations has a unique solution.

For which values of $p$ does the pair of equations given below have a unique solution?
$4x + py + 8 = 0$
$2x + 2y + 2 = 0$

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For which values of $p$ does the pair of equations given below have a unique solution?$4x + py + 8 = 0$$2x + 2y + 2 = 0$