Solve the system of linear equations: 2x + y = 1 and x − y = 2.

Given the equations:

$$2x + y = 1 \quad (1)$$ $$x - y = 2 \quad (2)$$

Add equation (1) and equation (2) to eliminate $y$:

$$(2x + y) + (x - y) = 1 + 2$$ $$3x = 3$$

$$x = \frac{3}{3}$$ $$x = 1$$

$$1 - y = 2$$ $$-y = 2 - 1$$ $$-y = 1$$ $$y = -1$$

The values are $x=1$ and $y=-1$.

$$\boxed{x=1, y=-1}$$

What is chemistry?
Chemistry is the natural science that studies the properties, composition, and structure of matter, as well as the changes it undergoes and the energy released or absorbed during these changes. It investigates the fundamental building blocks of the universe and how they interact.

Difference between Osmosis and Diffusion:

• Diffusion is the net movement of particles (solute or solvent) from an area of higher concentration to an area of lower concentration. It does not require a semi-permeable membrane and can occur in gases, liquids, and solids.
• Osmosis is a specific type of diffusion involving the net movement of solvent molecules (typically water) across a semi-permeable membrane from a region of higher solvent concentration (lower solute concentration) to a region of lower solvent concentration (higher solute concentration).