Question

Solve this equation please
​

Answer 1

Answer:

15/4 = 3.75

so equation is

3.75 - 7x = 9

Step-by-step explanation:

Transpose 7x to RHS and 9 to LHS.

this gives

3.75 - 9 = 7x

-5.25 = 7x

divide both sides by 7,

x = -5.25 ÷ 7

Answer 2

Given :-

$\dfrac{15}{4} -7x=9$

To find :-

Value of x

SOLUTION:-

$\dfrac{15}{4} -7x=9$

Take L.C.M to the denominator

L.C.M of 4,1 is 4

$\dfrac{15(1)-7x(4)}{4} =9$

$\dfrac{15-28x}{4} =9$

Do cross multiplication

$15-28x = 4(9)$

$15-28x=36$

Transpose 36 to L.H.S and -28x to R.H.S

$15-36=28x$

$-21=28x$

$x= \dfrac{-21}{28}$

$x=\dfrac{-3}{4}$

VERIFICATION:-

Substitute value of x it should be equal to R.H.S

$\dfrac{15}{4} -7\bigg(\dfrac{-3}{4}\bigg)=9$

$\dfrac{15}{4} +\dfrac{21}{4} =9$

$\dfrac{15+21}{4} =9$

$\dfrac{36}{4} =9$

$9=9$

SSO, L.H.S =R.H.S

Hence verified!

So, the value of x is -3/4

Know more :-

Transportations :-

If we transpose + after transpose it becomes -

If we transpose - after transpose it becomes +

If we transpose × after transpose it becomes ÷

If we transpose ÷ after transpose it becomes ×

Multiplication of signs:-

(+) ( -) = -

(-) ( +) = -

( + ) (+) = +

(-) (-) = +