Respuesta :
Answer:
Below
Step-by-step explanation:
If p = q
Replace p by q
● (2x +p)/q = (2x + q)/q
● (2x + q)/p = (2x + q)/q
Both expressions are equal to each others if p = q
If p doesn't equal q then the expressions won't equal each others
Answer:
- x = - (q+p)/2 if p≠q
- x = - q if p=q
Step-by-step explanation:
Solving the given for x:
- (2x+ p)/q = (2x + q)/p
Multiply both sides by pq:
- pq*(2x+ p)/q= pq* (2x + q)/p
- p(2x + p) = q(2x + q)
- 2px + p^2 = 2qx + q^2
- 2px - 2qx = q^2- p^2
- 2(p-q)x = - (p^2 - q^2)
- 2(p-q)x = - (p+q)(p-q)
- 2x = -(p+q)
- x = -(q+p)/2
This is the answer
If p=q, then:
- x = -(q+q)/2 = -q
- x = -q