# How do you solve the system by graphing #y = 2x + 1# and #y = 2x - 2#?

##### 1 Answer

Aug 11, 2018

The system of linear equation are inconsistent.

**The inconsistent system has no solution.**

#### Explanation:

We have , both the eqn. are in Slop-intercept form:

#ul(|x=|color(white)(,.,)0 | color(white)(.....)1|color(white)(...)-2|#

#ul(|y=|color(white)(,..)1|color(white)(.....)3|color(white)(...)-3|#

#ul(|x=|color(white)(,.,)0 | color(white)(.....)2|color(white)(...)-1|#

#ul(|y=|color(white)(.)-2|color(white)(.....)2|color(white)(...)-4|#

Plot the graph of both equations.

We can see that both the lines are parallel and never intersect each other.

The system of linear equation are inconsistent.

**The inconsistent system has no solution.**