Question

For what value of p does the pair of linear equations 2x + py = 9 and 4x + 6y = 18 has
infinitely many solutions?​

Answer 1

Answer:

p=3

Step-by-step explanation:

of two equations have infinitely many solutions then

$\frac{a1}{a2} = \frac{b1}{b2}$

then

$\frac{2}{4} = \frac{p}{6} \\ \frac{1}{2} = \frac{p}{6} \\ p = \frac{1 \times 6}{2} \\ p = 3$