Online Solution Graph of Linear Equation In Two Variable Problem Tutor & Homework Help
Solution Graph of Linear Equation In Two Variable Tutoring Online, Tutor Help
GRAPH OF A LINEAR EQUATION IN TWO VARIABLES:
This is a well-known fact that a linear equation has infinitely many solutions.
And the solutions are written as pairs of values.
For example, the solution of the linear equation in two variables x + 2y = 6 can
be expressed in the form of a table as given below:
| x | 2 | 0 | 6 | 4 | ... |
| y | 2 | 3 | 0 | 1 | ... |
On a graph paper these points (2, 2), (0, 3), (6, 0) and (4, 1) are plotted. Now
if any two points are joined, a straight line AB is obtained. Hence the geometrical
representation of equation x + 2y = 6 is a straight line.
All the points which lie on the line AB satisfy the equation x + 2y = 6. For example,
if we take points (6, 0), (2, 2) then,
6 + 2(0) = 6 and 2 + 2(2) = 2 + 4 = 6 which means both the points satisfy the equation x + 2y = 6. Hence, (6, 0) and (2, 2) both are solutions of equation x + 2y = 6.
6 + 2(0) = 6 and 2 + 2(2) = 2 + 4 = 6 which means both the points satisfy the equation x + 2y = 6. Hence, (6, 0) and (2, 2) both are solutions of equation x + 2y = 6.
Now if we take a point (2, 0) which does not lie on the line AB then,
2 + 2(0) = 2 ≠ 6, i.e. the point (2, 0) does not satisfy the above equation. Hence, (2, 0) is not a solution.
2 + 2(0) = 2 ≠ 6, i.e. the point (2, 0) does not satisfy the above equation. Hence, (2, 0) is not a solution.
Example 1:
Draw the graph of linear equation x – y = 2.
Solution:
x – y = 2 => y = x – 2
Table of Solutions
Table of Solutions
| x | 2 | 3 |
| y | 0 | 1 |
Now plotting the points (2, 0) and (3, 1) on the graph paper and joining these with
the help of a ruler we get the line which is the graph of the equation x – y = 2.
Example 2:
If the point (1, 1) lies on the graph of the equation 6x + 2ay = 3a, find the value
of a.
Solution:
If the point (1, 1) lies on the graph of the equation 6x + 2ay = 3a, then
| 6(1) + 2a(1) = 3a | => | 6 + 2a = 3a |
| => | 3a – 2a = 6 | |
| => | a = 6 (Answer) |
Example 3:
Draw the graph of equation 2x + 5y = 13 and check whether x = 2, y = 5 is a solution.
Solution:
| 2x + 5y = 13 | => | 5y = 13 – 2x |
| => |
y = (13 - 2x) 5 |
| x | -1 | 4 |
| y | 3 | 1 |
Now plotting the points (-1, 3) and (4, 1) on the graph paper and joining these
with the help of a ruler we get the line which is the graph of the equation 2x +
5y = 13.
In the above representation, we can clearly see that the point (2, 5) does not lie on the graph and hence x = 2, y = 5 is not a solution of the given equation.
In the above representation, we can clearly see that the point (2, 5) does not lie on the graph and hence x = 2, y = 5 is not a solution of the given equation.
Online Solution Graph of Linear Equation In Two Variable Help:
If you are stuck with a Solution Graph of Linear Equation In Two Variable Homework
problem and need help, we have excellent tutors who can provide you with Homework
Help. Our tutors who provide Solution Graph of Linear Equation In Two Variable help
are highly qualified. Our tutors have many years of industry experience and have
had years of experience providing Solution Graph of Linear Equation In Two Variable
Homework Help. Please do send us the Solution Graph of Linear Equation In Two Variable
problems on which you need Help and we will forward then to our tutors for review.
Online Tutor Solution Graph of Linear Equation In Two Variable:
We have the best tutors in math in the industry. Our tutors can break down a complex
Solution Graph of Linear Equation In Two Variable problem into its sub parts and explain
to you in detail how each step is performed. This approach of breaking down a problem
has been appreciated by majority of our students for learning Solution Graph of
Linear Equation In Two Variable concepts. You will get one-to-one personalized attention
through our online tutoring which will make learning fun and easy. Our tutors are
highly qualified and hold advanced degrees. Please do send us a request for Solution
Graph of Linear Equation In Two Variable tutoring and experience the quality yourself.
