P2-q2=7 and p-q=2. Find the value of p + q.

p + q = 13/4

Step-by-step explanation:

p² - q² = 7

p - q = 2

Use substitution.

p = 2 + q

(2 + q)² - q² = 7

Expand (2 + q)² with FOIL - first, outer, inner, last

(2 + q)(2 + q)

4 + 2q + 2q + q²

4 + 4q + q²

Subtract q².

4 + 4q + q² - q² = 7

4 + 4q = 7

Combine like-terms.

4q = 3

Divide by 4 to isolate q.

q = 3/4

Plug q into the equation to find p.

p - q = 2

p - (3/4) = 2

Add 3/4 to both sides.

p = 11/4

Add p and q.

11/4 + 3/4

= 13/4

answer: c

substitute in the values.

for a:

f(0) = 0 + 9

f(0) = 9

a is a solution.

for b:

f(7) = 14 + 9

f(7) = 23

b is a solution.

for c:

f (3) = 6 + 9

f(3) = 15

c is not a solution. it's supposed to be 14.

for d:

f(2) = 4 + 9

f(2)= 13

d is a solution.