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Question

What is the value of x if the pair of linear equation x+3y=6 and 2x3y=12 intersect at a point?
  1. 6


Solution

The correct option is A 6
Given, 
The pair of linear equations is inconsistent which means there exist an unique solution and it can be found out using the graphical representation of  linear equations. 

Now, 
Equation 1: 
         x+3y=6
x y
0 2
6 0

Equation 2: 
       2x3y=12
x y
0 -4
6 0

Plotting them in a graph:

From the graph, x = 6 and y = 0

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