# How do you solve the system of equations by graphing #x+y=3# and #x-y=1# and then classify the system?

##### 1 Answer

Jan 13, 2018

#### Answer:

This pair of equations are consistent with a single solution

#### Explanation:

**Graphing solution** (sorry I missed this requirement initially.

The graph of

graph{(3-x) [-10, 10, -5, 5]}

and

the graph of

graph{x-1 [-12.66, 12.65, -6.33, 6.33]}

When combined we have

with a single point of intersection at

**Non-graphing solution**

Given

[1]

[2]

adding [1] and [2] together gives

[3]

which implies

[4]

subtracting [2] from [1] gives

[5]

which implies

[6]

This pair of equations are consistent with a single solution