This document discusses a system of two linear equations: 4x - y = 8 and -8x + 2y = -5. The author multiplies the terms of the first equation by 2, resulting in 8x - 2y = 16. Then adds the two equations together, yielding 0x + 0y = 11. Since there are no values of x and y that satisfy 0 = 11, the system has no solutions and is inconsistent.

1. SYSTEMS OF
EQUATIONS
Saydee Bennett

2. System of Linear Equations
4x - y = 8
-8x + 2y = -5

3. Multiply All Terms in the
First Equation by 2
8x - 2y = 16
-8x + 2y = -5

4. Add the Two Equations
0x + 0y = 11 or 0 = 11

5. Conclusion: Because there
are no values of x and y for
which 0x + 0y = 11, the
given system of equations
has no solutions. This
system is inconsistent.