Y = 6x + 11
2х - Зу = 7

9514 1404 393

  (x, y) = (-2.5, -4)

Step-by-step explanation:

Since you are given an expression for y, it is convenient to substitute that into the second equation.

  2x -3(6x +11) = 7

  2x -18x -33 = 7

  -16x = 40 . . . . . . add 33

  x = -40/16 = -2.5

Using the equation for y, we find ...

  y = 6(-2.5) +11 = -15 +11 = -4

The solution is (x, y) = (-2.5, -4).

b. astronomers

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.