Question

(3x+8)/4x+5= (6x+1)/ (8x+7)

Answer 1

GIVEN,

EQUATION :$\frac{3X+8}{4X+5} =\frac{6X+1}{8X+7}$

TO FIND,

VALUE OF 'X'

SOLUTION,

$\frac{3X+8}{4X+5} =\frac{6X+1}{8X+7}$

solving the equation,

1. Cross multiplying the denominator, therefore we get,

$(3x+8)(8x+7)=(6x+1)(4x+5)$

2. Multiplying both values on each side we get,

$24x^{2} +21x+64x+56 = 24x^{2} +30x+4x+5$

3. solving the equation

$24x^{2} -24x^{2} +21x+64x-30x-4x+56-5=0\\\\51x+51=0 \\\\51x= -51\\\\x=-1$

HENCE THE VALUE OF X= -1.