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

1 Answer
Aug 11, 2018

Answer:

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=2x+1 ....to(1) and y=2x-2....to(2)#

#(1)#Draw value table for #: y=2x+1#

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

#(2)#Draw value table for #: y=2x-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.

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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.