Question

Solve 3x+7/5x+16 = 3x-2/5x-2

Answer 1

Answer:

2

Step-by-step explanation:

$\frac{3x + 7}{5x + 16} = \frac{3x - 2}{5x - 2}$

Cross multiplication, we get,

$(3x + 7)(5x - 2) = (5x + 16)(3x - 2)$

or,

$15 {x}^{2} - 6x + 35x - 14 = 15 {x}^{2} - 10x + 48x - 32$

or,

$29x - 14 = 38x - 32$

$29x - 38x = - 32 + 14$

or,

$- 9x = - 18$

or,

$x = 2$

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Answer 2

Given,

3x+7/5x+16 = 3x-2/5x-2

Find,

the value of x

SOLUTION

=> 3x + 7/5x + 16 = 3x - 2/5x -.2

=> (3x + 7)(5x - 2) = (3x - 2)(5x + 16)

=> 15x² - 6x + 35x - 14 = 15x² + 48x - 10x - 32

=> 15x² + 29x - 14 = 15x² + 38x - 32

=> 15x² - 15x² + 29x - 38x = -32 + 14

=> -9x = -18

=> x = -18/-9

=> x = 2

Hence,

the value of x is 2.