Is this a linear equation #5x+6y=3x-2#?
2 Answers
Yes, it is a linear equation in two variables
Explanation:
The generalized linear equation in two variables
The above equation shows a straight line on
The given equation
or
or
The above equation is in form of linear equation:
Please read the explanation.
Explanation:
Linear Equations are referred to as the equations of degree one,
where the variable's exponent ( or Power) is the value one.
This is the most common form of a linear equation.
It takes the form:
General Form:
IF there are two variables in a linear equation it takes the form:
To find the x-intercept, set
To find the y-intercept, set
For both of the above forms, we can construct a data table and create a graph.
Now, we will get back to the problem given to us:
This is a linear equation with two variables
We can combine like terms and simplify the equation as
follows:
Subtract
Hence, we can conclude that the equation
is indeed a linear equation.
y-intercept can be found by setting
Divide both sides by
Hence we understand that
To find the x-intercept, set
Divide both sides of the equation by
Hence we understand that
We can verify these results using a graph as given below:
I hope this explanation is helpful.