Question

Solve:


`(2x +p )/(q) = (2x + q)/(p)`
if p=q

if p cannot equal to q


urgent pls help and explain​

Answer 1

Below

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 2

• x = - (q+p)/2 if p≠q
• x = - q if p=q

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