Question

Find the solution of the linear equation 3x – y = 4 which represent a point on (i) x-axis (ii) y- axis (iii) the line x = y.

Answer 1

Step-by-step explanation:

Given :-

A linear equation 3x – y = 4

To find :-

Find the solution of the linear equation 3x – y = 4 which represent a point on (i) x-axis (ii) y- axis (iii) the line x = y.

Solution :-

Given linear equation = 3x - y = 4 ---------(1)

I) Represents X-axis :-

We know that

The equation of X-axis is y = 0

Put y = 0 in the equation (1) then

=> 3x - 0 = 4

=> 3x = 4

=> x = 4/3

Therefore , x = 4/3 when y = 0

The point = (4/3 , 0)

ii) Represents Y - axis :-

We know that

The equation of Y-axis is x = 0

Put x = 0 in the equation (1) then

=> 3(0) - y = 4

=> 0-y = 4

=> -y = 4

=> y = -4

Therefore , y = -4 when x = 0

The point = (0 , -4)

iii) the line x = y :-

Put x = y in the equation (1) then

=> 3(y) - y = 4

=> 3y-y = 4

=> 2y = 4

=> y = 4/2

=> y = 2

=> x = 2

Therefore , x= 2 and y = 2

The point = (2,2)

Answer:-

I) The points represents X-axis is (4/3,0)

ii) The points represents Y-axis is (0,-4)

iii) The point represents x= y is (2,2)

Used formulae:-

• The equation of X-axis is y = 0

• The equation of Y-axis is x = 0

Points to know:-

• The linear equation has two variables is called a linear equation in two variables.

• A linear equation has infinitely number of many solutions

• The graph of the linear equation in two variables is a straight line.