Question

find x, if 6x+7/3x+2=4x+13/2x+5​

Answer 1

Answer:

Question :

Find x, if

$\frac{6x + 7}{3x + 2} = \frac{4x + 13}{2x + 5}$

Answer :

$\frac{6x + 7}{3x + 2} = \frac{4x + 13}{2x + 5}$

Cross multiply :

$(6x + 7) \times (2x + 5) = (4x + 13) \times (3x + 2)$

$6x(2x + 5) + 7(2x + 5) = 4x(3x + 2) + 13(3x + 2)$

$12x {}^{2} + 30x + 14x + 35 = 12 {x}^{2} + 8x + 39x + 26$

Cut 12x² from both sides as when they subtracted, they give 0.

Now, we get

$30x + 14x + 35 = 8x + 39x + 26$

$44x + 35 = 47x + 26$

$35 - 26 = 47x - 44x$

$9 = 3x$

$x = \frac{9}{3}$

$x = 3$

$\implies$ Hence, the value of x is 3.