Solve the system: x + y + z = 3, 2x – y = 3

The system of equations given is:

1. x + y + z = 3
2. 2x - y = 3

We can solve this system step by step as follows:

Step 1: Solve the second equation for y.

2x - y = 3 => y = 2x - 3

Step 2: Substitute y in the first equation with the expression we found (2x - 3).

x + (2x - 3) + z = 3 => 3x - 3 + z = 3 => 3x + z = 6 => z = 6 - 3x

Now we have expressions for y and z in terms of x.

y = 2x - 3 z = 6 - 3x

However, since we don't have a third equation, we can't solve for a specific value for x, y, and z. The solution to the system is therefore a family of solutions parameterized by x. For any chosen x, we can find corresponding y and z using the above expressions.