Question

for what value of p,the pair of equation 4x-3y=9 and 2x+py=11 has no solution ?​

Answer 1

SOLUTION:-

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Answer

⠀

⠀⠀⠀⠀ • p= -3/2⠀

Given ⠀⠀

⠀⠀⠀⠀ • 4x-3y=9

⠀⠀⠀⠀ • 2x+py=11

⠀

To Calculate

⠀⠀

⠀⠀ • Value of p

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Step by step explanation

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⠀⠀ The Given System of Equation is

• 4x-3y-9=0_________________(1)

• 2x+py-11=0_________________(2)

These equation are of the form a1x+b1y+c1=0

And

a2x+b2y+c2=0

Where

a1= 4 , b1=-3 , c1= -9

a2= 2 , b2=p , c2= -11

Therefore

$\frac{a1}{a2} = \frac{4}{2} = \frac{2}{1} , \: \frac{b1}{b2} = \frac{ - 3}{p \: } , \frac{c1}{c2} = \frac{ - 9}{ - 11}$

Let the Given system of equations have no solution

Then

$\frac{a1}{a2} = \frac{b1}{b2} ≠ \frac{c1}{c2}$

2/1 = -3/p ≠ 9/11

2/1 = -3/p

=>> 2p= -3

=>> p= -3/2

-3/p ≠ 9/11

=>> 9p ≠-33

=>> p≠ -33/9

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Hence,

⠀⠀

⠀ The Given System of equations has no solutions When P= -3/2

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