Question

Can anyone help me to understand first chapter of maths of 10th.
Linear equations in ...​

Answer 1

Answer:

yes

where is the question

pair of linear equations in 2 variable

Answer 2

Answer:

Linear equations in two variables is not the first chapter in class 10 math dear, it is chapter 3...

Step-by-step explanation:

Linear equations are those equations that are of the first order. These equations are defined for lines in the coordinate system.  

Linear equations are also first-degree equations as it has the highest exponent of variables as 1.  Some of the examples of such equations are as follows:

2x – 3 = 0,  

2y = 8

m + 1 = 0,

x/2 = 3

x + y = 2

3x – y +

z = 3

When the equation has a homogeneous variable (i.e. only one variable), then this type of equation is known as a Linear equation in one variable. In different words, a line equation is achieved by relating to zero a linear polynomial over any field, from which the coefficients are obtained.  

The solutions of linear equations will generate values, which when substituted for the unknown values, make the equation true. In the case of one variable, there is only one solution, such as x+2=0. But in case of the two-variable linear equation, the solutions are calculated as the Cartesian coordinates of a point of the Euclidean plane.

Linear Equations Formula

There are different forms to write linear equations. Some of them are:

Linear Equation             General Form                           Example

Slope intercept form         y = mx + c                                y + 2x = 3

Point–slope form            y – y1 = m(x – x1 )               y – 3 = 6(x – 2)

General Form                      Ax + By + C = 0                        2x + 3y – 6 = 0

The Identity Function            f(x) = x                                     f(x) = 3x

Constant Functions            f(x) = C                                     f(x) = 6

How to Solve Linear Equations

Both sides of the equation are supposed to be balanced for solving a linear equation. Equality sign denotes that the expressions on either side of the ‘equal to’ sign are equal. Since the equation is balanced, for solving it certain mathematical operations are performed on both sides of the equation in a manner that it does not affect the balance of the equation. Here is the example related to the linear equation in one variable.

Example: Solve 2x – 10/2 = 3(x – 1)

Step 1: Clear the fraction

2x – 5 = 3(x – 1)

Step 2: Simplify Both sides equations

2x – 5 = 3x – 3

2x = 3x + 2

2x – 3x = 2

Step 3: Isolate x

x = -2

To solve Linear Equations having 2 variables, there are different methods. Following are some of them:

• Method of substitution

• Cross multiplication method

• Method of elimination

• Determinant methods

Hope this helps..