Question

if (3/x-5) + (2x/x-3) = 5 then x is​

Answer 1

Step-by-step explanation:

hope it helps u but still cross check once from others

Answer 2

$\bf x = 4$

$\bf x = 7$

Given:

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

To find:

• Find the value of x.

Solution:

Concept/formula to be used:

• Take LCM
• Simplify the equation and solve for x.

Step 1:

Simplify the equation.

Take LCM.

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

$\frac{3(x - 3) + 2x(x - 5)}{(x - 5)(x - 3)} = 5$

$\frac{3x - 9 + 2 {x}^{2} - 10x}{ {x}^{2} - 8x + 15} = 5$

$\frac{ 2 {x}^{2} - 7x - 9}{ {x}^{2} - 8x + 15} = 5$

$2 {x}^{2} - 7x - 9 = 5( {x}^{2} - 8x + 15)$

$2 {x}^{2} - 7x - 9 = 5{x}^{2} - 40x + 75$

$2 {x}^{2} - 7x - 9 - 5{x}^{2} + 40x - 75 = 0$

$- 3 {x}^{2} + 33x - 84 = 0$

$\bf 3 {x}^{2} - 33x + 84 = 0$

Step 2:

Solve the quadratic equation.

$3 {x}^{2} - 33x + 84 = 0$

Split the middle term.

$3 {x}^{2} - 12x - 21x + 84 = 0$

$3x(x - 4) - 21(x - 4) = 0$

$(x - 4)(3x - 21) = 0$

$x - 4 = 0$

or

$\bf x = 4$

and

$3x - 21 = 0$

$3x = 21$

$\bf x = 7$

Thus,

The solution of the equation is $\bf x = 4$, $\bf x = 7$

Learn more:

1) Solve the given quadratic equation:

x² - 4x + 13 = 0

https://brainly.in/question/7853681

2) 5/7p+1=1/5 Solve the equation by first clearing the fractions

https://brainly.in/question/12891569

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