Question

1. y > 2x + 3 graph it, 2. 3x + y = 4 and x - y = 0, solve for x.

Answer 1

Answer:

1. see the attachment
2. (x, y) = (1, 1)

Step-by-step explanation:

1. Since you have y > ..., the boundary line is dashed and the shading is above it (for y-values greater than the values on the line). The boundary line is ...

  y = 2x+3

which has a y-intercept of 3 and a slope (rise/run) of 2. A graph is attached.

__

2. You can add the two equations to eliminate y:

  (3x +y) +(x -y) = (4) +(0)

  4x = 4

  x = 1

  1 - y = 0 . . . . substitute into the the second equation

  1 = y . . . . . . . add y

The solution is (x, y) = (1, 1).