Question

how to solve an equation???????????????​

Answer 1

There are many ways :formula, splitting middle term, Cross-multiplication method, substitution method, elimination method etc.

Answer 2

$\bf Solving \: an \: Equation$

Method 1 : Balancing Method

Rule 1 : We can add the same number to both sides of an equation.

Rule 2: We can subtract the same number from both sides of an equation.

Rule 3: We can multiply both sides of an equation by the same non zero number.

Rule 4: We can divide both sides of inquation by the same non-zero number.

Example:-

Find the value x if x - 3 = 7

Solution:

$\mathfrak{x - 3 = 7}$

Adding 3 on both sides, we get

$\mathfrak{x - 3 + 3 = 7 + 3}$

$\implies \mathfrak{x = 10}$

Method 2 : Transposition Method

Under this process we can shift a term from one side of an equation to the other side with sign changed.

Note : (i) First isolate the variable term on one side and all the constants on the other side and collect like terms.

(ii) Make the coefficient of the variable 1.

Example:-

Solve: 3x+5 = 5x-11

Solution :-

$\mathfrak{3 {x} + 5 = 5x - 11}$

[Transposing 3x to R.H.S and -11 to L.H.S]

$\implies \mathfrak{5 + 11 = 5x - 3x = 16 = 2x}$

Dividing both sides by 2, we get

$\implies \sf x = \dfrac{16}{2} = 8$

x = 8 is the solution of the given equation.