Question

5x-3=3x+5linear equations​

Answer 1

Answer:

8x=8

Step-by-step explanation:

5x-3=3x+5

5x+3x=3+5

8x=8

Answer 2

Question :-

Solve: $\mathtt{5x - 3 = 3x + 5}$

$\begin {gathered} \end {gathered}$

Solution :-

We have,

$\begin {gathered} \end {gathered}$

$\begin{aligned} \bold {5x - 3} &= \bold {3x + 5}\\\\\Rightarrow 5x - 3x &= 5 + 3\ \ \boxed {\text{By Transposition}}\\\\\Rightarrow 2x &= 8\\\\\Rightarrow \bold x &= \Big (\dfrac{8}{2}\Big ) = \underline {\underline {\bold 4}}\\\\\therefore\ \bold x &= \bold 4\end{aligned}$

$\begin {gathered} \end {gathered}$

Additional Information :-

Equation :-

An Equation is a statement of Equality of two Algebraic Expressions involving one or more Unknown Quantities, called Variables.

$\begin {gathered} \end {gathered}$

An Equation involving only Linear Polynomials* is called a Linear Equation.

E.g. (i) $\mathtt{x - 5 = 7 - 2x}$

(ii) $\mathtt{3(y - 5) = 6}$

$\begin {gathered} \end {gathered}$

*Linear Polynomial:-

A Polynomial of Degree 1 is called a Linear Polynomial.

E.g. (i) $\mathtt{5x + 7}$ is a Linear Polynomial in x

(ii) $\mathtt{\sqrt 2y - 6}$ is a Linear Polynomial in y