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stiks02 [169]
3 years ago
13

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

Mathematics
1 answer:
Harrizon [31]3 years ago
8 0

Answer:

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

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