The graph of the pair of equations $x+y=7$ and $3x+3y=21$ is:

The pair of equations $2x + 6y = 10$ and $3x + 9y - 15 = 0$ has..........

Do the following pair of linear equations have no solution? Justify your answer.
$2x + 4y = 3$
$x = 2y$

Solve the following pair of linear equations in two variables using a graph: $4x + y = 7$ and $16x + 4y = 28$.

The cost of $2\, kg$ of apples and $1\, kg$ of grapes on a day was found to be ₹ $160$. After a month,the cost of $4\, kg$ of apples and $2\, kg$ of grapes is ₹ $300$. Represent the situation algebraically and geometrically.

On comparing the ratios $\frac{a_{1}}{a_{2}}, \frac{b_{1}}{b_{2}}$ and $\frac{c_{1}}{c_{2}},$ find out whether the following pair of linear equations are consistent or inconsistent.
$5x - 3y = 11$; $-10x + 6y = -22$