Question

6 solve the system using elimination. write the solution as an ordered pair.$2p - q = 1$$p = q + 1$

Explanation:

Step1: Rearrange second equation

$p - n = 1$

Step2: Subtract equations to eliminate $n$

$(2p - n) - (p - n) = 1 - 1$
Simplify: $2p - n - p + n = 0$ → $p = 0$

Step3: Substitute $p=0$ into $p=n+1$

$0 = n + 1$ → $n = -1$

Answer:

$(p, n) = (0, -1)$