Write the number of solutions of the following pair of linear equations:
x + 3y – 4 = 0 and 2x + 6y – 7 = 0.
There are two equations given in the question:
x + 3y – 4 = 0 …(i)
And, 2x + 6y – 7 = 0 …(ii)
These given equations are in the form a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 where,
a1 = 1, b1 = 3 and c1 = – 4
Also, a2 = 2 + b2 = 6 and c2 = – 7
Now, we have:
And,
∴
Hence, the given pair of linear equation has no solution