# How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent #x + y = 4# and #–x + y = 2#?

##### 1 Answer

The equations are consistent.

The point of intersection is

#### Explanation:

Given:

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Both equations are in the same format. AS such and the fact that the coefficients of

By sight: Directly adding equations (1) and (2) gives:

Thus

Given that

So the graphs intersect at

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To graph these write the equations as:

If this is for homework you will be required to produce a table of values for each equation. I would suggest 3 values each