Question

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

Answer 1

HEY MATE ...

answer is in attachment

Answer 2

Question -

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

Given -

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

To do -

• Solve the equation
• Find the value of x

Solution -

By cross multiplication,

:⟼ (3x + 7)(5x - 2) = (3x - 2)(5x + 16)

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

:⟼ 15x² + 29x - 14 = 15x² + 38x - 32

:⟼ 15x² + 29 - 15x² - 38x = -32 + 14

:⟼ -9x = -18

$\sf{{:⟼\: x = }{ \: \frac{ - 18}{ - 9} \: }}$

:⟼ x = -2

Therefore, the value of x is -2.

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