Question

Explain solving equation having the variable on both side ​

Answer 1

Answer:

After simplifying, the first step in solving an equation with a variable on both sides is to get the variable on one side. This is done by reversing the addition or subtraction of one of the terms with the variable.

Step-by-step explanation:

Hope it helps uhh

Answer 2

Answer :

As we know that,

• A statement of equality e of to algebraic equations involving one or more variables is called an equation.
• L.H.S = Left hand side
• R.H.S = Right hand side
• If L.H.S = R.H.S, then, we can say that the equation is balanced.
• An equation may be taken to other Side with the sign changed. This process is called transposition. For example,

⟹ 3x - 5 = 2x + 8

⟹ 3x = 2x + 5 + 8 ...... transposing -5 to R.H.S

⟹ 3x = 2x + 13

⟹ 3x - 2x = 13 ...... transposing + 2x to L.H.S

⟹ x = 13.

So, let's take an example and solve,

Question :

5x - 17 = 2x - 8

Step-by-step explanation :

⟹ 5x - 17 = 2x - 8

⟹ 5x = 2x - 8 + 17 ...... transposing -17 to R.H.S

⟹ 5x = 2x + 9

⟹ 5x - 2x = 9 ...... transposing +2x to L.H.S

⟹ 3x = 9

⟹ x = 9/3 ...... dividing both sides by 3

⟹ x = 3 ★

Now, let's prove that the L.H.S = R.H.S,

We got, x = 3,

⟹ 5x - 17 = 2x - 8

⟹ 5 × 3 - 17 = 2 × 3 - 8

⟹ 15 - 17 = 6 - 8

⟹ -2 = -2

⟹ 2 = 2 ..... cancelling negative signs from both the sides.

L.H.S = R.H.S

Hence, Verified !