Demonstration of MAFS.912.A-REI.3.5
- Author:
- Cathryn Denny
- 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