Answer:
Option B is correct
No solution
Step-by-step explanation:
Given the system of equation:
[tex]3y+3x=2[/tex] ......[1]
[tex]y+x= 8[/tex] ......[2]
We can write equation [2] as
y =8-x
Substitute this in [1] we have;
[tex]3(8-x)+3x =2[/tex]
Using distributive property: [tex]a\cdot (b+c) = a\cdot b+ a\cdot c[/tex]
[tex]24-3x+3x = 2[/tex]
Combine like terms;
[tex]24 = 2[/tex] false.
⇒ the system of equations does not have any solution.
Using Graphing calculator:
You can see the the graph of the system of equations as shown below:
The graph of the lines do not intersect, so the graphs are parallel and there is no solution.
