Question

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➢ How to find the solution of a linear equation in two variables?

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Answer 1

Answer:

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An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

Basically, for linear equation in two variables, there are infinitely many solutions.

For example:-

6x+2y=36

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

6x+2(0) =36

6x+0=36

6x=36

x=36/6

x=6

So Linerar equation in 2 variable has many solutions.

Answer 2

Answer:

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We can substitute y in the second equation with the first equation since y = y. The solution of the linear system is (1, 6). You can use the substitution method even if both equations of the linear system are in standard form. Just begin by solving one of the equations for one of its variables.

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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

Step-by-step explanation: