# How do you graph the system of linear inequalities #7x+y>0# and #3x-2y<=5#?

##### 1 Answer

Feb 26, 2018

This is a system of 2 linear inequalities. Solving it means finding its solution set.

First, graph the 2 lines y1 and y2 by the axis intercepts -->

Line y1 --> 7x + y = 0

This Line y1 passes at the origin and it is downward.

Line 2 --> 3x - 2y = 5

When x = 0 --> y-intercept =

When y = 0 --> x-intercept =

Solve the 2 inequalities by graphing.

The solution set of Inequality (1) is the area **above** the line y1.

The solution set of Inequality (2) is the area **above** the Line y2

The combine solution of the system is the area commonly shared

by the 2 solution sets.

Color the combined solution set.

graph{-7x [-10, 10, -5, 5]}

graph{2x - 3y = 5 [-10, 10, -5, 5]}