Question

for what value of p will the linear equation 2px+3y=7 and 6x+3y=18 will have one solution

Answer 1

Answer:

Step-by-step explanation:

As we know,

For one solution it means the equation has unique solution..

Therefore,for unique solution we have a1/a2 is not equal to b1/b2

So here a1=2p, b1=3 ,a2=6,b2=3

Hence, 2p/6 is not equal to 3/3

So,p/3 not equal to 1..............1

Multiply by 3 on both sides of equation 1

We get, p/3×3 is not equal to 1×3

p is not equal to 3

Hence, for any value of p except 3 the equation will have one solution..

Thank you