Answer with explanation:
The equation in two variables , which are ,x and y is
1.→ 2 x + y =3
2. →3 y = x -12
x -3 y=12
Writing both the equation in slope intercept form
[tex]1.\rightarrow\frac{x}{\frac{3}{2}} +\frac{y}{3}=1\\\\2.\rightarrow\frac{x}{12} -\frac{3y}{12}=1\\\\.\rightarrow\frac{x}{12} -\frac{y}{4}=1[/tex]
And, then plotting the graph of both the linear equation on the coordinate plane.The graph which is resembling with the options given is:
Option B
