Question

Solve The Following Equations And Check Your Result.

5+7x-9=9x-2-x​

Answer 1

Answer:

The value of x is -2

Step-by-step explanation:

In the above question, we have been given the following expression to solve for the value of variable x. Therefore we will first adjust the variables on one of the sides and the rest constant values on another and then calculate the value of the following:

Therefore we have,

$5+7x-9 = 9x-2-x$

⇒ 7x - 9x + x = -2 - 5 + 9

⇒ -x = 2

⇒ x = -2

Therefore the value of x is -2.

Check:

$5+7x-9=9x-2-x$

⇒ LHS = 5 + 7 (-2) - 9

= 5 -14-9

= -18

RHS = 9 ( -2) -2 -(-2)

= -18 -2 + 2

= - 18

Therefore RHS = LHS checked and verified.

Answer 2

Answer:

=> The value of x is -2 and it satisfies the expression.

Step-by-step explanation:

Given that:-

$5+7x-9=9x-2-x$

To find:- The value of the expression:

Here we will use the transposition method.

We have to follow these steps:

( i ) First of all, we have to identify the variables and the constants.

( ii ) Get the variable to one side of the equation. Maintain equation balance while calculating.

( iii ) Then solve the expression of both sides by using various mathematical operations. Simplify both sides.

As we have,

=> $5+7x-9=9x-2-x$

Subtract the numbers,

=> $- 4 + 7 x = 9 x - 2 - x$

Rearranging the terms, we get

=> $7 x -4= 9 x - 2 - x$

Combine the like terms, we get

=> $7 x -4= 8 x - 2$

Add both sides by $4$,

=> $7 x -4+4= 8 x - 2+4$

=> $7x = 8x +2$

Subtract both sides by $8x$, we get

=> $7x -8x= 8x +2-8x$

=> $-x = 2$

Divide both sides by $-1$, we get

=> $x = -2$

Hence, the required solution is -2.

Verification:-

Plug the value of x in the expression:

=> $5+7x-9=9x-2-x$

=> 5 + 7 ( -2 ) - 9 = 9 ( -2 ) - 2 - ( -2 )

=> -18 = -18

LHS = RHS