Question

Solve the following pairs of linear equation graphically 2x+y=6 4x-2y=4

Answer 1

Step-by-step explanation:

Given :  and  

To find : Graph of the equations?

Solution :  

Let, Equation 1 -  

and Equation 2-  

Now, We find the x and y intercepts of the equation to plot the graph.

Equation 1 -

Put x=0,

Put y=0,

Points of equation 1 is  (0,6) and (3,0)

Equation 2-  

Put x=0,

Put y=0,

Points of equation 1 is  (0,-2) and (1,0)

Now, we plot these two equations.

The graph of is shown with red line.

The graph of is shown with blue line.

The solution to this system will be their intersection point.  

The intersection point of these graph is (2,2)

Refer the attached graph above