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

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:

$y = 2 x + 1 \ldots . \to \left(1\right) \mathmr{and} y = 2 x - 2. \ldots \to \left(2\right)$

$\left(1\right)$Draw value table for $: y = 2 x + 1$

ul(|x=|color(white)(,.,)0 | color(white)(.....)1|color(white)(...)-2|
ul(|y=|color(white)(,..)1|color(white)(.....)3|color(white)(...)-3|

$\left(2\right)$Draw value table for $: y = 2 x - 2$

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.