Solve the system of equations: 3x + y = 2.5 7 + 3y = 6x + 22

Let's solve the system of equations step by step.

The given system of equations is:

$$3x + y = 2.5$$

$$7 + 3y = 6x + 22$$

First, let's simplify the second equation:

$$7 + 3y = 6x + 22$$

Subtract 7 from both sides:

$$3y = 6x + 15$$

Divide both sides by 3:

$$y = 2x + 5$$

Now we have a simplified second equation:

$$y = 2x + 5$$

Substitute this expression for $$y$$ into the first equation:

$$3x + (2x + 5) = 2.5$$

Combine like terms:

$$5x + 5 = 2.5$$

Subtract 5 from both sides:

$$5x = -2.5$$

Divide by 5:

$$x = -0.5$$

Now that we have $$x$$, we can substitute it back into the equation for $$y$$:

$$y = 2x + 5$$

$$y = 2(-0.5) + 5$$

$$y = -1 + 5$$

$$y = 4$$

So the solution to the system of equations is:

$$x = -0.5$$ and $$y = 4$$