Simplify : (3x + 4)/(6x + 7) = (x + 1)/(2x + 3)

1.	Simplify : (3x + 4)/(6x + 7) = (x + 1)/(2x + 3)
Answer» Sum of numerators of both sides = 3x + 4 + x + 1 = 4x + 5 …(i) Sum of denominators of both sides = 6x + 7 + 2x + 3 = 8x + 10 …(ii) Ratio of (i) by (ii) = 1 : 2 According to question any sum equation to zero. From 4x + 5 = 0 or 8x + 10 = 0 ⇒ x = -5/4

Answer»

Sum of numerators of both sides

= 3x + 4 + x + 1 = 4x + 5 …(i)

Sum of denominators of both sides

= 6x + 7 + 2x + 3 = 8x + 10 …(ii)

Ratio of (i) by (ii) = 1 : 2

According to question any sum equation to zero.

From 4x + 5 = 0

or 8x + 10 = 0

⇒ x = -5/4

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