For this case we have the following system of equations:
[tex]2x + 4y = 36\\3x-4y = -6[/tex]
We must verify if the point[tex](x, y) :( 4,7)[/tex] is a system solution.
Substituting we have:
First equation:
[tex]2 (4) +4 (7) = 36\\8 + 28 = 36\\36 = 36[/tex]
Second equation:
[tex]3 (4) -4 (7) = - 6\\12-28 = -6\\-16 = -6[/tex]
Equality is not fulfilled, so the point is not a system solution.
Answer:
The given point is not a system solution
