Question

1 + x /1 - x = 2 / 3 solve and verify​

Answer 1

ANSWER.

• x = -1/5.

EXPLANATION.

Given –

→ (1 + x)/(1 - x) = 2/3

On cross multiplying, we get,

→ 2(1 - x) = 3(1 + x)

→ 2 - 2x = 3 + 3x

→ 2 - 3 = 3x + 2x

→ 5x = -1

→ x = -1/5

★ So, the value of x is -1/5.

VERIFICATION.

Put x = -1/5 in LHS, we get,

= (1 - 1/5)(1 + 1/5)

= [(5 - 1)/5] ÷ [(5 + 1)/5]

= 4/5 × 5/6

= 4/6

= 2/3

= RHS (Hence Verified)