Math, asked by richard3145, 1 year ago

6x+7/3x+2=4x+5/2x+3 Please answer this Pls

Answers

Answered by siddharth178
72

Step-by-step explanation:

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Attachments:
Answered by qwmagpies
20

Given:

The given expression is

 \frac{6x + 7}{3x + 2}  =  \frac{4x + 5}{2x + 3}

To find:

The value of x.

Solution:

To determine the value of x we have to follow the below steps as follows-

The given expression is as follows-

 \frac{6x + 7}{3x + 2}  =  \frac{4x + 5}{2x + 3}

By cross multiplying the above expression we get-

 \frac{6x + 7}{3x + 2}  =  \frac{4x + 5}{2x + 3}  \\ (6x + 7)(2x + 3) = (4x + 5)(3x + 2) \\ 12 {x}^{2}  + 14x + 18x + 21 = 12 { {x} }^{2}  + 15x + 8x + 10 \\ 32x + 21 = 23x + 10 \\ 32x - 23x = 10 - 21 \\ 9x =  - 11 \\ x =   \frac{ - 11}{9}

Hence the value of x is -11/9.

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