Question

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

• A. 6

Answer 1

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