If $p - 2 = q$ and $3q = 2p + 1$, then $p =$... | Free GMAT Practice Question | GMAT Panda

👋 Hi! I'm GMAT Panda. Ask me anything about this question, or click a button below to get started!

If p - 2 = q and 3 q = 2 p + 1, then p =

Explanation	Calculations	Help
$We use "Substitution" to replace q with the expression from the first equation into the second equation.$	$3 (p - 2) = 2 p + 1$	Theory & Tactics Method Card EQUA3-A Click to view full details
$We then expand and collect like terms to group the p terms on one side and the constants on the other side.$	$3 p - 6 = 2 p + 1 3 p - 2 p = 1 + 6$	Theory & Tactics Method Card EQUA1-B Click to view full details
$Finally, we subtract and divide to isolate p .$	$p = 7$	Theory & Tactics Method Card EQUA1-C Click to view full details

Scroll horizontally to view all columns

C

If p - 2 = q and 3 q = 2 p + 1, then p =

Explanation	Calculations	Help
$We use "Substitution" to replace q with the expression from the first equation into the second equation.$	$3 (p - 2) = 2 p + 1$	Theory & Tactics Method Card EQUA3-A Click to view full details
$We then expand and collect like terms to group the p terms on one side and the constants on the other side.$	$3 p - 6 = 2 p + 1 3 p - 2 p = 1 + 6$	Theory & Tactics Method Card EQUA1-B Click to view full details
$Finally, we subtract and divide to isolate p .$	$p = 7$	Theory & Tactics Method Card EQUA1-C Click to view full details

Scroll horizontally to view all columns

C