Use gauss-jordan elimination to solve the following linear system.
–x + 6y = 20
–x + 3y = 8

a. (–2,–2)
b. (3,2)
c. (4,4)
d. (0,5)

The correct option is C) (4,4)

Step-by-step explanation:

Given linear system is :

Solve using Gauss - jordan elimination

It is an algorithm that can be used to solve systems of linear equations and to find the inverse of any invertible matrix.

Divide row(1) by -1

Add row(1) to row(2)

Divide row(2) by -3

Add (6 * row(2) ) to row(1)

Hence the corresponding values of x and y are (4, 4)

Therefore, the correct option is C) (4,4)

d) -1

step-by-step explanation:

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)