Answer:
The solution of the linear system is:
[tex]x = 2[/tex] and [tex]y = -2[/tex]
Step-by-step explanation:
The following linear equation is solved as follows:
[tex]8\cdot x + y = 14[/tex]
[tex]3\cdot x + y = 4[/tex]
After some algebraic manipulation:
[tex]y = 14 - 8\cdot x[/tex]
[tex]y = 4 - 3\cdot x[/tex]
[tex]14 - 8\cdot x = 4 - 3\cdot x[/tex]
[tex]10 = 5\cdot x[/tex]
[tex]5\cdot x = 10[/tex]
[tex]x = 2[/tex]
And finally,
[tex]y = 4 - 3\cdot (2)[/tex]
[tex]y = -2[/tex]
The solution of the linear system is:
[tex]x = 2[/tex] and [tex]y = -2[/tex]
