give any eg of linear equation in two variable and its 4 solution
Answers
Answer:
For example, 10x+4y = 3 and -x+5y = 2 are linear equations in two variables.
The solution for such an equation is a pair of values, one for x and one for y which further makes the two sides of an equation equal.
Also, read:
Linear Equations In Two Variables Class 9
Solving Linear Equations
Applications Of Linear Equations
Solution of Linear Equations in Two Variables
The solution of linear equations in two variables, ax+by = c, is a particular point in the graph, such that when x-coordinate is multiplied by a and y-coordinate is multiplied by b, then the sum of these two values will be equal to c.
Basically, for linear equation in two variables, there are infinitely many solutions.
Example
In order to find the solution of Linear equation in 2 variables, two equations should be known to us.
Consider for Example:
5x + 3y = 30
The above equation has two variables namely x and y.
Graphically this equation can be represented by substituting the variables to zero.
The value of x when y=0 is
5x + 3(0) = 30
⇒ x = 6
and the value of y when x = 0 is,
5 (0) + 3y = 30
⇒ y = 10
Linear equation in two variables 2
It is now understood that to solve linear equation in two variables, the two equations have to be known and then the substitution method can be followed. Let’s understand this with a few example questions.
Unique Solution
For the given linear equations in two variables, the solution will be unique for both the equations, if and only if they intersect at a single point.
The condition to get the unique solution for the given linear equations is, the slope of the line formed by the two equations, respectively, should not be equal.
Consider, m1 and m2 are two slopes of equations of two lines in two variables. So, if the equations have a unique solution, then:
m1 ≠ m2
No Solution
If the two linear equations have equal slope value, then the equations will have no solutions.
m1 = m2
This is because the lines are parallel to each other and do not intersect.
System of Linear Equations in Two Variables
Instead of finding the solution for a single linear equation in two variables, we can take two sets of linear equations, both having two variables in them and find the solutions. So, basically the system of linear equations is defined when there is more than one linear equation.
For example, a+b = 15 and a-b = 5, are the system of linear equations in two variables. Because, the point a = 10 and b = 5 is the solution for both equations, such as:
a+b=10 + 5 = 15
a-b=10-5 = 5
Hence, proved point (10,5) is solution for both a+b=15 and a-b=5.
Step-by-step explanation:
PLEASE MARK ME AS THE BRAINLIEST!!!
PLEASE UNDERSTAND MY FEELINGS!!!
Answer:
ur live questions answered
because girl growth complete near 18 year
_ boy growth complete 21 years
Step-by-step explanation:
sci-2