Question

Write the number of solutions of the following pair of linear equations:

$x+3y-4=0and2x+6y-7=0.$

Answer 1

1st equation can be re-written as $y=$ $\frac{-x}{3}$+$\frac{4}{3}$

comparing with y=mx+c , m= $\frac{-1}{3}$

2nd equation can be written as

$y=$ $\frac{-x}{3}$+$\frac{7}{6}$

comparing with y=mx+c , m= $\frac{-1}{3}$

so slopes of both the lines are same. so they are parallel and never intersect.

so number of solutions for this pair of linear equations is zero