Question

If 5x/3 -4=+ 2x//5 what is the numerical value of 2x- 7 ?

Answer 1

(5x/3) - 4 = 2x/5
=> (5x/3) - (2x/5) = 4
=>(25x - 6x) / 15 = 4
=> 19x = 15×4
=> x = 60/19

hence,
2x-7
= 2(60/19) -7
=(120/19) -7
= (120 -133)/19
=13/19
______________
I hope this helps..

Answer 2

Given - Equation

Find - Value of 2x - 7

Solution - Firstly solving the given mathematical equation to find the value of x.

$\frac{5x}{3} - 4 = \frac{2x}{5}$

Shifting the number 4 to Right Hand Side and expression from Right Hand Side to Left Hand Side.

$\frac{5x}{3} - \frac{2x}{5} = 4$

Taking LCM, we get 15. Solving Left Hand Side to find the value of x

$\frac{5x \times 5 - 2x \times 3}{15} = 4$

Performing subtraction

$\frac{25x - 6x}{15} = 4$

$\frac{19x}{15} = 4$

Shifting 15 to Right Hand Side

$19x = 4 \times 15$

Performing multiplication

$19x = 60$

$x = \frac{60}{19}$

$x = 3.2$

Now, finding the numerical value of 2x - 7. Keep the value of x in expression.

Value = $2 \times 3.2 - 7$

Value = $6.4 - 7$

Value = $- 0.6$

Hence, the numerical value of given expression is -0.6.