Question

Value of x for which ( 2x - 3 )/ ( 3x + 2 ) = -2/3 is --- *
1 point
5/10
5/11
11/5
5/12​

Answer 1

Required Answer:-

Given:

• (2x - 3)/(3x + 2) = -2/3

To Find:

• The value of x satisfying the equation.

Solution:

Given,

➡ (2x - 3)/(3x + 2) = -2/3

➡ 3(2x - 3) = -2(3x + 2)

➡ 6x - 9 = -6x - 4

➡ 12x = 5

➡ x = 5/12

Hence, the value of x is 5/12.

Verification:

Let us verify our result.

(2x - 3)/(3x + 2)

= (2 × 5/12 - 3)/(3 × 5/12 + 2)

= (5/6 - 3)/(5/4 + 2)

= (5 - 18)/6 ÷ (5 + 8)/4

= -13/6 ÷ 13/4

= -13/6 × 4/13

= -4/6

= -2/3

Hence, the value of x is 5/12 (Verified)

Answer:

• x = 5/12

Answer 2

Answer:

answer is 5/ 12

Step-by-step explanation:

( 2x - 3 )/ ( 3x + 2 ) = -2/3

3( 2x - 3) = -2 ( 3x + 2)

6x - 9 = -6x - 4

6x + 6x = - 4 + 9

12x = 5

x= 5/ 12