Using a scale of $1 \mathrm{cm}=1 \mathrm{unit}$ for both the axes, draw the graphs of the following equations :

$6y=5x+10, y=5x-15$

From the graph, find the coordinates of the point where the two lines intersect.

Using a scale of $1 \mathrm{cm}$ to $1$ unit for the both the axes, draw the graphs of the following equations:

$6y=5x+10, y=5x-15$:

From the graph find:

The area of the triangle between the lines and the $x$-axis;

The cost of manufacturing x articles is ₹(50+ 3x). The selling price of x articles is ₹4x. On a graph sheet, with the same axes, and taking suitable scales draw two graphs, first for the cost of manufacturing against no. of articles and the second for the selling price against number of articles.

Use your graph to determine: No. of articles to be manufactured and sold to break even (no profit and no loss).

The cost of manufacturing x articles is ₹(50+ 3x). The selling price of x articles is ₹4x. On a graph sheet, with the same axes, and taking suitable scales draw two graphs, first for the cost of manufacturing against no. of articles and the second for the selling price against number of articles.

Use your graph to determine: The profit or loss made when (a) 30 (b) 60 articles are manufactured and sold.

Solve graphically the following equations: $x+2y=4, 3x-2y=4$. 

Take $2 \mathrm{cm}=1 \mathrm{unit}$ on each axis. Write down the area of the triangle formed by the lines and the $x$-axis.