Question

Class 9th
Mathematics
Chapter 4 - Linear Equations In Two Variables .
Formulas Needed . Give 1 example for each Formuals

Note : Don't copy, Don't spam .

Quality answer with good explanation will be Brainliest .​.

Answer 1

Here ‘a’ is called coefficient of x, ‘b’ is called coefficients of y and c is called constant term.

Eg. 6x + 2y + 5 = 0, 5x – 2y + 3 = 0 etc.

Answer 2

Step-by-step explanation:

Linear equations in two variables:-

• An equation has degree 1 is called a linear equation.

• If a linear equation has only one variable is called a linear equation in one variable or simple equation.
• Ex.2x+3=0;5y=7

• The standard form of a linear equation in one variable is ax+b=0

• The value of a number when we substitute the value in the variable in an equation is called is a solution or root.

• The equation of x-axis is y=0

• The equation of y-axis is x=0

• Y=mx is a line passes through the Origin.

• A linear equation has only one root or solution.

• A linear equation has two variables is called a linear equation in two variables.
• Ex:2x+3y=0

• The standard form of an equation in two variables is ax+by+c=0

• A linear equation in two variables gas infinite number of many solutions.

• To get solution we put x=0 to get value of y and put y= 0 to get value of x for the given equations

Additional information:-

• The pair of linear equations in two variables are represented by a1x+b1y+c1=0 and a2x+b2y+c2=0.

• Where, a1,b1,c1,a2,b2,c2 are the real numbers and x and y are variables.

• If a1/a2≠b1/b2 then the pair of linear equations are consistent and dependent lines and they have only one solution.

• If a1/a2 =b1/b2 =c1/c2 then the pair of linear equations are called consistent and dependent lines and they have infinitely number of many solutions.

• If a2=b1/b2 then the pair of linear equations are called inconsistent lines and they have no solution.

• The graphical method and algebraic methods are used to solve the equations.

• Substitution method,Method of elimination and cross multiplication method to solve the equations.