The lines x + y = 5 and 2x + 2y = 10 are plotted on the same axes. Looking carefully, what do you observe and how many solutions are there?

Question

Accepted Answer

The lines coincide; infinitely many solutions. Dividing 2x + 2y = 10 by 2 gives x + y = 5, the same line. They coincide, so infinitely many solutions.

The lines $x + y = 5$ and $2 x + 2 y = 10$ are plotted on the same axes.
Looking carefully, what do you observe and how many solutions are there?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Graphical Method practice

The lines x+y=5 and 2x+2y=10 are plotted on the same axes.Looking carefully, what do you observe and how many solutions are there?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Graphical Method practice

The lines $x + y = 5$ and $2 x + 2 y = 10$ are plotted on the same axes.
Looking carefully, what do you observe and how many solutions are there?