The problem is to solve the following system of equations: $x + y = 4$ $z - y = 3$ $2x + 2z = 3$

1. Problem Description

The problem is to solve the following system of equations:

$x + y = 4$

$z - y = 3$

$2x + 2z = 3$

2. Solution Steps

From the first equation, we have:

$x = 4 - y$ (1)

From the second equation, we have:

$z = y + 3$ (2)

Substitute equations (1) and (2) into the third equation:

$2(4 - y) + 2(y + 3) = 3$

$8 - 2y + 2y + 6 = 3$

$14 = 3$

This is a contradiction, meaning the system of equations has no solution.

3. Final Answer

No solution.