# How do you graph the system #y>=2x-7# and #y<-4x-3#?

##### 1 Answer

Jun 28, 2015

Solving system of linear equations in 2 variables

#### Explanation:

(1)

(2)

First, graph the Line (1) y = 2x - 7

x = 0 -> y = -7 and y = 0 -> x = 7/2

The solution set of this inequality (1) is the area **above** the Line (1). Shade or color this area.

Next, graph Line (2) y = - 4x - 3

x = 0 -> y = - 3, and y = 0 -> x = - 3/4

The solution set of inequality (2) is the area **below** the Line (2). Shade or color it.

The combined solution set of the system is the commonly shared area.

Note. The Line (1) y = 2x - 7 is included in the combined solution set.