Pair of Linear ...

STATEMENT - 1 : If the graphs of the two equations are parallel lines, there exists no solution.
STATEMENT - 2 : The system is called an inconsistent system.

The condition for the pair of equations $$a_1x+b_1y+c_1=0$$ and $$a_2x+b_2y+c_2 = 0$$ to have a unique solution is -

The solution set of $$x + y -1=0$$ and $$3x + 3y -2=0$$ is

Find the solution set of the system of equations: $$\displaystyle \frac{4}{x}+5y=7\:and\:\frac{3}{x}+4y=5.$$

The system of linear equation $$ax+by=6$$, $$cx+dy=8$$ has no solution if:

The cost of 9 chairs and 3 tables is Rs. 306, while the cost of 6 chairs and 3 tables is Rs. 246. Then the cost of 6 chairs and 1 table is

Check whether the pair of equations $$x + 3y = 6$$, and $$2x - 3y = 12$$ is consistent. If so, solve graphically

If a pair of linear equations is inconsistent. In the below graph, the lines are _________.

If a pair of linear equations is consistent and dependent. In the below graph, the lines are __________.