What is the value of x if the pair of linear equation x+3y=6 and 2x−3y=12 intersect at a point?
6
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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: 2x−3y=12
x
y
0
-4
6
0
Plotting them in a graph: From the graph, x = 6 and y = 0