Question

Values of p and q for which the given system f linear equations have infinite number of solutions are _________
2x + 3y = 9
(p + q)x + (2p -q)y = 3(p + q + 1)

• A. $p=1,q=5$
• B. $p=\frac{5}{3},q=\frac{1}{3}$
• C. $p=4,q=-2$
• D. $p=4,q=-1$

Answer 1

Answer: (B)

$p=\frac{5}{3},q=\frac{1}{3}$

From the above we have,
p + q=2 ........eq1
2p -q=3 .........eq2
From eq1 & eq2
$3p=5$
$p=5/3$
$q=2-p=2-5/3=1/3$
Answer (B) $p=\frac{5}{3},q=\frac{1}{3}$