Classify the system and identify the number of solutions.
X - 3y - 8z = -10 ------> equation A
2x + 5y + 6z = 13 -----> equation B
3x + 2y – 2z = 3 -----> equation C
we have that
If you multiply by 2 equation A, the result is not equation B
If you multiply by 3 equation A, the result is not equation C
therefore
consistent, independent; one
Problem N 2
we have the inequalities
[tex]x\ge0[/tex]the solution to this inequality is the shaded area at the right of x=0
[tex]y\ge0[/tex]the solution for this inequality is the shaded area above the solid line y=0
[tex]x+y\leq4[/tex]the solution for this inequality is the shaded area below the solid line x+y=4
[tex]4x+12y\leq24[/tex]the solution is the shaded area below the solid line 4x+12y=24
therefore
To find out the total solution, using a graphing tool
see the attached figure
the solution is the quadrilateral area with vertices (0,0) (0,2) (3,1) and (4,0)
compare with the options
we have that
option A is not correct
option B is not correct
option C is not correct
