Question

Majedur expresses a number in
the form 4x + 5. Ratul
expresses the same number as
6x – 7. If Firoz wants to express
this number in the form 5x - d,
what would be the value of d ?​

Answer 1

Answer:

value of the x is -5/4

5(-5/4)-d=

-25/4 -d

(-25-4d)/4

-25-4d=4

-4d=4+25

-d=29/4

d=-7.25

Answer 2

$Given \: 4x+5 = 6x-7 = 5x-d$

$i) 4x+5 = 6x - 7$

$\implies 4x - 6x = -7 - 5$

$\implies - 2x = -12$

$\implies x = \frac{-12}{-2}$

$\implies x = 6 \: --(1)$

$ii) 4x + 5 = 5x - d$

$\implies d + 5 = 5x - 4x$

$\implies d = x - 5$

$\implies d = 6 - 5 \: \blue { [ From \: (1) ]}$

$\implies d = 1$

Therefore.,

$\red{ Value \: of \:d } \green {= 1 }$

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