# Demonstration of MAFS.912.A-REI.3.5

Topic:
Algebra

## Demonstration of MAFS.912.A-REI.3.5

A demonstration of MAFS.912.A-REI.3.5 Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equationand a multiple of the other produces a system with the same solutions. y = 2x - 1 y = 4x + 1 To demonstrate replacing one equation by the sum of that equations and a multiple, k, of the other: y = 2x - 1 ky = 4kx + k y + ky = 2x - 1 + 4kx + k